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Finding the Third Proportional to 134,387 and 209,757

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Solution

The third proportional to 134,387 and 209,757 is: 327,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,387 : 209,757 = 209,757 : x
  2. Step 2: Convert to fraction form
    134,387/209,757 = 209,757/x
  3. Step 3: Cross multiply
    134,387x = 209,757 × 209,757
  4. Step 4: Simplify right side
    134,387x = 43,997,999,049
  5. Step 5: Solve for x
    x = 43,997,999,049/134,387
  6. Step 6: Final answer
    x = 327,397.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.