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Finding the Third Proportional to 86,581.13 and 132,993.56

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Solution

The third proportional to 86,581.13 and 132,993.56 is: 204,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,581.13 : 132,993.56 = 132,993.56 : x
  2. Step 2: Convert to fraction form
    86,581.13/132,993.56 = 132,993.56/x
  3. Step 3: Cross multiply
    86,581.13x = 132,993.56 × 132,993.56
  4. Step 4: Simplify right side
    86,581.13x = 17,687,287,666.44
  5. Step 5: Solve for x
    x = 17,687,287,666.44/86,581.13
  6. Step 6: Final answer
    x = 204,285.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.