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Finding the Third Proportional to 138,736 and 299,324

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Solution

The third proportional to 138,736 and 299,324 is: 645,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,736 : 299,324 = 299,324 : x
  2. Step 2: Convert to fraction form
    138,736/299,324 = 299,324/x
  3. Step 3: Cross multiply
    138,736x = 299,324 × 299,324
  4. Step 4: Simplify right side
    138,736x = 89,594,856,976
  5. Step 5: Solve for x
    x = 89,594,856,976/138,736
  6. Step 6: Final answer
    x = 645,793.86

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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.