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Finding the Third Proportional to 74,938 and 112,902

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Solution

The third proportional to 74,938 and 112,902 is: 170,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,938 : 112,902 = 112,902 : x
  2. Step 2: Convert to fraction form
    74,938/112,902 = 112,902/x
  3. Step 3: Cross multiply
    74,938x = 112,902 × 112,902
  4. Step 4: Simplify right side
    74,938x = 12,746,861,604
  5. Step 5: Solve for x
    x = 12,746,861,604/74,938
  6. Step 6: Final answer
    x = 170,098.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.