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Finding the Third Proportional to 342,900 and 527,382

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Solution

The third proportional to 342,900 and 527,382 is: 811,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,900 : 527,382 = 527,382 : x
  2. Step 2: Convert to fraction form
    342,900/527,382 = 527,382/x
  3. Step 3: Cross multiply
    342,900x = 527,382 × 527,382
  4. Step 4: Simplify right side
    342,900x = 278,131,773,924
  5. Step 5: Solve for x
    x = 278,131,773,924/342,900
  6. Step 6: Final answer
    x = 811,116.28

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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.