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Finding the Third Proportional to 78,857 and 125,535

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Solution

The third proportional to 78,857 and 125,535 is: 199,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857 : 125,535 = 125,535 : x
  2. Step 2: Convert to fraction form
    78,857/125,535 = 125,535/x
  3. Step 3: Cross multiply
    78,857x = 125,535 × 125,535
  4. Step 4: Simplify right side
    78,857x = 15,759,036,225
  5. Step 5: Solve for x
    x = 15,759,036,225/78,857
  6. Step 6: Final answer
    x = 199,843.21

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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.