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Finding the Third Proportional to 366,931 and 516,719

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Solution

The third proportional to 366,931 and 516,719 is: 727,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,931 : 516,719 = 516,719 : x
  2. Step 2: Convert to fraction form
    366,931/516,719 = 516,719/x
  3. Step 3: Cross multiply
    366,931x = 516,719 × 516,719
  4. Step 4: Simplify right side
    366,931x = 266,998,524,961
  5. Step 5: Solve for x
    x = 266,998,524,961/366,931
  6. Step 6: Final answer
    x = 727,653.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.