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Finding the Third Proportional to 138,714 and 209,530

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Solution

The third proportional to 138,714 and 209,530 is: 316,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,714 : 209,530 = 209,530 : x
  2. Step 2: Convert to fraction form
    138,714/209,530 = 209,530/x
  3. Step 3: Cross multiply
    138,714x = 209,530 × 209,530
  4. Step 4: Simplify right side
    138,714x = 43,902,820,900
  5. Step 5: Solve for x
    x = 43,902,820,900/138,714
  6. Step 6: Final answer
    x = 316,498.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.