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Finding the Third Proportional to 88,019 and 132,448

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Solution

The third proportional to 88,019 and 132,448 is: 199,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,019 : 132,448 = 132,448 : x
  2. Step 2: Convert to fraction form
    88,019/132,448 = 132,448/x
  3. Step 3: Cross multiply
    88,019x = 132,448 × 132,448
  4. Step 4: Simplify right side
    88,019x = 17,542,472,704
  5. Step 5: Solve for x
    x = 17,542,472,704/88,019
  6. Step 6: Final answer
    x = 199,303.25

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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.