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Finding the Third Proportional to 88,480 and 132,396

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Solution

The third proportional to 88,480 and 132,396 is: 198,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,480 : 132,396 = 132,396 : x
  2. Step 2: Convert to fraction form
    88,480/132,396 = 132,396/x
  3. Step 3: Cross multiply
    88,480x = 132,396 × 132,396
  4. Step 4: Simplify right side
    88,480x = 17,528,700,816
  5. Step 5: Solve for x
    x = 17,528,700,816/88,480
  6. Step 6: Final answer
    x = 198,109.19

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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.