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Finding the Third Proportional to 331,311 and 516,651

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Solution

The third proportional to 331,311 and 516,651 is: 805,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,311 : 516,651 = 516,651 : x
  2. Step 2: Convert to fraction form
    331,311/516,651 = 516,651/x
  3. Step 3: Cross multiply
    331,311x = 516,651 × 516,651
  4. Step 4: Simplify right side
    331,311x = 266,928,255,801
  5. Step 5: Solve for x
    x = 266,928,255,801/331,311
  6. Step 6: Final answer
    x = 805,672.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.