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Finding the Third Proportional to 217,675.69 and 329,799.94

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Solution

The third proportional to 217,675.69 and 329,799.94 is: 499,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675.69 : 329,799.94 = 329,799.94 : x
  2. Step 2: Convert to fraction form
    217,675.69/329,799.94 = 329,799.94/x
  3. Step 3: Cross multiply
    217,675.69x = 329,799.94 × 329,799.94
  4. Step 4: Simplify right side
    217,675.69x = 108,767,998,775.00
  5. Step 5: Solve for x
    x = 108,767,998,775.00/217,675.69
  6. Step 6: Final answer
    x = 499,679.13

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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.