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Finding the Third Proportional to 138,966 and 299,532

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Solution

The third proportional to 138,966 and 299,532 is: 645,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966 : 299,532 = 299,532 : x
  2. Step 2: Convert to fraction form
    138,966/299,532 = 299,532/x
  3. Step 3: Cross multiply
    138,966x = 299,532 × 299,532
  4. Step 4: Simplify right side
    138,966x = 89,719,419,024
  5. Step 5: Solve for x
    x = 89,719,419,024/138,966
  6. Step 6: Final answer
    x = 645,621.37

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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.