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Finding the Third Proportional to 88,033 and 132,471

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Solution

The third proportional to 88,033 and 132,471 is: 199,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,033 : 132,471 = 132,471 : x
  2. Step 2: Convert to fraction form
    88,033/132,471 = 132,471/x
  3. Step 3: Cross multiply
    88,033x = 132,471 × 132,471
  4. Step 4: Simplify right side
    88,033x = 17,548,565,841
  5. Step 5: Solve for x
    x = 17,548,565,841/88,033
  6. Step 6: Final answer
    x = 199,340.77

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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.