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Finding the Third Proportional to 88,659 and 132,987

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Solution

The third proportional to 88,659 and 132,987 is: 199,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,659 : 132,987 = 132,987 : x
  2. Step 2: Convert to fraction form
    88,659/132,987 = 132,987/x
  3. Step 3: Cross multiply
    88,659x = 132,987 × 132,987
  4. Step 4: Simplify right side
    88,659x = 17,685,542,169
  5. Step 5: Solve for x
    x = 17,685,542,169/88,659
  6. Step 6: Final answer
    x = 199,478.25

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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.