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Finding the Third Proportional to 640,478 and 1,379,920

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Solution

The third proportional to 640,478 and 1,379,920 is: 2,973,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,478 : 1,379,920 = 1,379,920 : x
  2. Step 2: Convert to fraction form
    640,478/1,379,920 = 1,379,920/x
  3. Step 3: Cross multiply
    640,478x = 1,379,920 × 1,379,920
  4. Step 4: Simplify right side
    640,478x = 1,904,179,206,400
  5. Step 5: Solve for x
    x = 1,904,179,206,400/640,478
  6. Step 6: Final answer
    x = 2,973,059.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.