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Finding the Third Proportional to 217,665 and 329,782.50

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Solution

The third proportional to 217,665 and 329,782.50 is: 499,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,665 : 329,782.50 = 329,782.50 : x
  2. Step 2: Convert to fraction form
    217,665/329,782.50 = 329,782.50/x
  3. Step 3: Cross multiply
    217,665x = 329,782.50 × 329,782.50
  4. Step 4: Simplify right side
    217,665x = 108,756,497,306.25
  5. Step 5: Solve for x
    x = 108,756,497,306.25/217,665
  6. Step 6: Final answer
    x = 499,650.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.