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Finding the Third Proportional to 172,910,376 and 267,445,415.25

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Solution

The third proportional to 172,910,376 and 267,445,415.25 is: 413,665,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,910,376 : 267,445,415.25 = 267,445,415.25 : x
  2. Step 2: Convert to fraction form
    172,910,376/267,445,415.25 = 267,445,415.25/x
  3. Step 3: Cross multiply
    172,910,376x = 267,445,415.25 × 267,445,415.25
  4. Step 4: Simplify right side
    172,910,376x = 71,527,050,138,244,936
  5. Step 5: Solve for x
    x = 71,527,050,138,244,936/172,910,376
  6. Step 6: Final answer
    x = 413,665,459.49

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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.