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Finding the Third Proportional to 88,024 and 132,458

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Solution

The third proportional to 88,024 and 132,458 is: 199,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,024 : 132,458 = 132,458 : x
  2. Step 2: Convert to fraction form
    88,024/132,458 = 132,458/x
  3. Step 3: Cross multiply
    88,024x = 132,458 × 132,458
  4. Step 4: Simplify right side
    88,024x = 17,545,121,764
  5. Step 5: Solve for x
    x = 17,545,121,764/88,024
  6. Step 6: Final answer
    x = 199,322.02

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