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Finding the Third Proportional to 88,142 and 132,407

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Solution

The third proportional to 88,142 and 132,407 is: 198,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,142 : 132,407 = 132,407 : x
  2. Step 2: Convert to fraction form
    88,142/132,407 = 132,407/x
  3. Step 3: Cross multiply
    88,142x = 132,407 × 132,407
  4. Step 4: Simplify right side
    88,142x = 17,531,613,649
  5. Step 5: Solve for x
    x = 17,531,613,649/88,142
  6. Step 6: Final answer
    x = 198,901.93

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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.