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Finding the Third Proportional to 342,902 and 527,385

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Solution

The third proportional to 342,902 and 527,385 is: 811,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,902 : 527,385 = 527,385 : x
  2. Step 2: Convert to fraction form
    342,902/527,385 = 527,385/x
  3. Step 3: Cross multiply
    342,902x = 527,385 × 527,385
  4. Step 4: Simplify right side
    342,902x = 278,134,938,225
  5. Step 5: Solve for x
    x = 278,134,938,225/342,902
  6. Step 6: Final answer
    x = 811,120.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.