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Finding the Third Proportional to 239,778 and 516,912

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Solution

The third proportional to 239,778 and 516,912 is: 1,114,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,778 : 516,912 = 516,912 : x
  2. Step 2: Convert to fraction form
    239,778/516,912 = 516,912/x
  3. Step 3: Cross multiply
    239,778x = 516,912 × 516,912
  4. Step 4: Simplify right side
    239,778x = 267,198,015,744
  5. Step 5: Solve for x
    x = 267,198,015,744/239,778
  6. Step 6: Final answer
    x = 1,114,355.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.