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Finding the Third Proportional to 132,285.38 and 204,892.88

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Solution

The third proportional to 132,285.38 and 204,892.88 is: 317,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,285.38 : 204,892.88 = 204,892.88 : x
  2. Step 2: Convert to fraction form
    132,285.38/204,892.88 = 204,892.88/x
  3. Step 3: Cross multiply
    132,285.38x = 204,892.88 × 204,892.88
  4. Step 4: Simplify right side
    132,285.38x = 41,981,090,225.77
  5. Step 5: Solve for x
    x = 41,981,090,225.77/132,285.38
  6. Step 6: Final answer
    x = 317,352.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.