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Finding the Third Proportional to 239,778 and 516,951

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Solution

The third proportional to 239,778 and 516,951 is: 1,114,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,778 : 516,951 = 516,951 : x
  2. Step 2: Convert to fraction form
    239,778/516,951 = 516,951/x
  3. Step 3: Cross multiply
    239,778x = 516,951 × 516,951
  4. Step 4: Simplify right side
    239,778x = 267,238,336,401
  5. Step 5: Solve for x
    x = 267,238,336,401/239,778
  6. Step 6: Final answer
    x = 1,114,524.00

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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.