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Finding the Third Proportional to 129,397 and 205,760

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Solution

The third proportional to 129,397 and 205,760 is: 327,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,397 : 205,760 = 205,760 : x
  2. Step 2: Convert to fraction form
    129,397/205,760 = 205,760/x
  3. Step 3: Cross multiply
    129,397x = 205,760 × 205,760
  4. Step 4: Simplify right side
    129,397x = 42,337,177,600
  5. Step 5: Solve for x
    x = 42,337,177,600/129,397
  6. Step 6: Final answer
    x = 327,188.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.