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Finding the Third Proportional to 138,598 and 299,353

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Solution

The third proportional to 138,598 and 299,353 is: 646,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,598 : 299,353 = 299,353 : x
  2. Step 2: Convert to fraction form
    138,598/299,353 = 299,353/x
  3. Step 3: Cross multiply
    138,598x = 299,353 × 299,353
  4. Step 4: Simplify right side
    138,598x = 89,612,218,609
  5. Step 5: Solve for x
    x = 89,612,218,609/138,598
  6. Step 6: Final answer
    x = 646,562.13

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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.