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Finding the Third Proportional to 78,857 and 125,540

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Solution

The third proportional to 78,857 and 125,540 is: 199,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857 : 125,540 = 125,540 : x
  2. Step 2: Convert to fraction form
    78,857/125,540 = 125,540/x
  3. Step 3: Cross multiply
    78,857x = 125,540 × 125,540
  4. Step 4: Simplify right side
    78,857x = 15,760,291,600
  5. Step 5: Solve for x
    x = 15,760,291,600/78,857
  6. Step 6: Final answer
    x = 199,859.13

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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.