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Finding the Third Proportional to 74,874 and 99,674

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Solution

The third proportional to 74,874 and 99,674 is: 132,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,874 : 99,674 = 99,674 : x
  2. Step 2: Convert to fraction form
    74,874/99,674 = 99,674/x
  3. Step 3: Cross multiply
    74,874x = 99,674 × 99,674
  4. Step 4: Simplify right side
    74,874x = 9,934,906,276
  5. Step 5: Solve for x
    x = 9,934,906,276/74,874
  6. Step 6: Final answer
    x = 132,688.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.