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Finding the Third Proportional to 172,910,378 and 267,445,418

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Solution

The third proportional to 172,910,378 and 267,445,418 is: 413,665,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,910,378 : 267,445,418 = 267,445,418 : x
  2. Step 2: Convert to fraction form
    172,910,378/267,445,418 = 267,445,418/x
  3. Step 3: Cross multiply
    172,910,378x = 267,445,418 × 267,445,418
  4. Step 4: Simplify right side
    172,910,378x = 71,527,051,609,194,720
  5. Step 5: Solve for x
    x = 71,527,051,609,194,720/172,910,378
  6. Step 6: Final answer
    x = 413,665,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.