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Finding the Third Proportional to 218,856.38 and 328,285.13

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Solution

The third proportional to 218,856.38 and 328,285.13 is: 492,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,856.38 : 328,285.13 = 328,285.13 : x
  2. Step 2: Convert to fraction form
    218,856.38/328,285.13 = 328,285.13/x
  3. Step 3: Cross multiply
    218,856.38x = 328,285.13 × 328,285.13
  4. Step 4: Simplify right side
    218,856.38x = 107,771,123,296.27
  5. Step 5: Solve for x
    x = 107,771,123,296.27/218,856.38
  6. Step 6: Final answer
    x = 492,428.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.