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Finding the Third Proportional to 216,221.06 and 329,661.56

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Solution

The third proportional to 216,221.06 and 329,661.56 is: 502,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,221.06 : 329,661.56 = 329,661.56 : x
  2. Step 2: Convert to fraction form
    216,221.06/329,661.56 = 329,661.56/x
  3. Step 3: Cross multiply
    216,221.06x = 329,661.56 × 329,661.56
  4. Step 4: Simplify right side
    216,221.06x = 108,676,745,789.94
  5. Step 5: Solve for x
    x = 108,676,745,789.94/216,221.06
  6. Step 6: Final answer
    x = 502,618.68

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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.