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Finding the Third Proportional to 78,849 and 125,397

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Solution

The third proportional to 78,849 and 125,397 is: 199,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,849 : 125,397 = 125,397 : x
  2. Step 2: Convert to fraction form
    78,849/125,397 = 125,397/x
  3. Step 3: Cross multiply
    78,849x = 125,397 × 125,397
  4. Step 4: Simplify right side
    78,849x = 15,724,407,609
  5. Step 5: Solve for x
    x = 15,724,407,609/78,849
  6. Step 6: Final answer
    x = 199,424.31

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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.