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Finding the Third Proportional to 420,603,013.50 and 920,361,213

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Solution

The third proportional to 420,603,013.50 and 920,361,213 is: 2,013,929,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,603,013.50 : 920,361,213 = 920,361,213 : x
  2. Step 2: Convert to fraction form
    420,603,013.50/920,361,213 = 920,361,213/x
  3. Step 3: Cross multiply
    420,603,013.50x = 920,361,213 × 920,361,213
  4. Step 4: Simplify right side
    420,603,013.50x = 847,064,762,394,831,360
  5. Step 5: Solve for x
    x = 847,064,762,394,831,360/420,603,013.50
  6. Step 6: Final answer
    x = 2,013,929,370.94

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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.