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Finding the Third Proportional to 383,961 and 516,894

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Solution

The third proportional to 383,961 and 516,894 is: 695,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,961 : 516,894 = 516,894 : x
  2. Step 2: Convert to fraction form
    383,961/516,894 = 516,894/x
  3. Step 3: Cross multiply
    383,961x = 516,894 × 516,894
  4. Step 4: Simplify right side
    383,961x = 267,179,407,236
  5. Step 5: Solve for x
    x = 267,179,407,236/383,961
  6. Step 6: Final answer
    x = 695,850.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.