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Finding the Third Proportional to 331,256 and 516,564

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Solution

The third proportional to 331,256 and 516,564 is: 805,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,256 : 516,564 = 516,564 : x
  2. Step 2: Convert to fraction form
    331,256/516,564 = 516,564/x
  3. Step 3: Cross multiply
    331,256x = 516,564 × 516,564
  4. Step 4: Simplify right side
    331,256x = 266,838,366,096
  5. Step 5: Solve for x
    x = 266,838,366,096/331,256
  6. Step 6: Final answer
    x = 805,535.19

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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.