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Finding the Third Proportional to 138,742 and 299,569

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Solution

The third proportional to 138,742 and 299,569 is: 646,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,742 : 299,569 = 299,569 : x
  2. Step 2: Convert to fraction form
    138,742/299,569 = 299,569/x
  3. Step 3: Cross multiply
    138,742x = 299,569 × 299,569
  4. Step 4: Simplify right side
    138,742x = 89,741,585,761
  5. Step 5: Solve for x
    x = 89,741,585,761/138,742
  6. Step 6: Final answer
    x = 646,823.50

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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.