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Finding the Third Proportional to 239,179.50 and 516,408

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Solution

The third proportional to 239,179.50 and 516,408 is: 1,114,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,179.50 : 516,408 = 516,408 : x
  2. Step 2: Convert to fraction form
    239,179.50/516,408 = 516,408/x
  3. Step 3: Cross multiply
    239,179.50x = 516,408 × 516,408
  4. Step 4: Simplify right side
    239,179.50x = 266,677,222,464
  5. Step 5: Solve for x
    x = 266,677,222,464/239,179.50
  6. Step 6: Final answer
    x = 1,114,966.89

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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.