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Finding the Third Proportional to 612,738,824,209.50 and 1,340,904,740,375.20

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Solution

The third proportional to 612,738,824,209.50 and 1,340,904,740,375.20 is: 2,934,407,698,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,738,824,209.50 : 1,340,904,740,375.20 = 1,340,904,740,375.20 : x
  2. Step 2: Convert to fraction form
    612,738,824,209.50/1,340,904,740,375.20 = 1,340,904,740,375.20/x
  3. Step 3: Cross multiply
    612,738,824,209.50x = 1,340,904,740,375.20 × 1,340,904,740,375.20
  4. Step 4: Simplify right side
    612,738,824,209.50x = 1,798,025,522,760,682,508,910,592
  5. Step 5: Solve for x
    x = 1,798,025,522,760,682,508,910,592/612,738,824,209.50
  6. Step 6: Final answer
    x = 2,934,407,698,223.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.