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Finding the Third Proportional to 88,128 and 132,387.38

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Solution

The third proportional to 88,128 and 132,387.38 is: 198,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,128 : 132,387.38 = 132,387.38 : x
  2. Step 2: Convert to fraction form
    88,128/132,387.38 = 132,387.38/x
  3. Step 3: Cross multiply
    88,128x = 132,387.38 × 132,387.38
  4. Step 4: Simplify right side
    88,128x = 17,526,417,059.39
  5. Step 5: Solve for x
    x = 17,526,417,059.39/88,128
  6. Step 6: Final answer
    x = 198,874.56

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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.