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Finding the Third Proportional to 138,742 and 299,081

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Solution

The third proportional to 138,742 and 299,081 is: 644,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,742 : 299,081 = 299,081 : x
  2. Step 2: Convert to fraction form
    138,742/299,081 = 299,081/x
  3. Step 3: Cross multiply
    138,742x = 299,081 × 299,081
  4. Step 4: Simplify right side
    138,742x = 89,449,444,561
  5. Step 5: Solve for x
    x = 89,449,444,561/138,742
  6. Step 6: Final answer
    x = 644,717.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.