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Finding the Third Proportional to 138,508 and 299,164

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Solution

The third proportional to 138,508 and 299,164 is: 646,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,508 : 299,164 = 299,164 : x
  2. Step 2: Convert to fraction form
    138,508/299,164 = 299,164/x
  3. Step 3: Cross multiply
    138,508x = 299,164 × 299,164
  4. Step 4: Simplify right side
    138,508x = 89,499,098,896
  5. Step 5: Solve for x
    x = 89,499,098,896/138,508
  6. Step 6: Final answer
    x = 646,165.56

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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.