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Finding the Third Proportional to 40,252 and 88,280

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Solution

The third proportional to 40,252 and 88,280 is: 193,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,252 : 88,280 = 88,280 : x
  2. Step 2: Convert to fraction form
    40,252/88,280 = 88,280/x
  3. Step 3: Cross multiply
    40,252x = 88,280 × 88,280
  4. Step 4: Simplify right side
    40,252x = 7,793,358,400
  5. Step 5: Solve for x
    x = 7,793,358,400/40,252
  6. Step 6: Final answer
    x = 193,614.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.