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Finding the Third Proportional to 78,540 and 125,094

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Solution

The third proportional to 78,540 and 125,094 is: 199,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540 : 125,094 = 125,094 : x
  2. Step 2: Convert to fraction form
    78,540/125,094 = 125,094/x
  3. Step 3: Cross multiply
    78,540x = 125,094 × 125,094
  4. Step 4: Simplify right side
    78,540x = 15,648,508,836
  5. Step 5: Solve for x
    x = 15,648,508,836/78,540
  6. Step 6: Final answer
    x = 199,242.54

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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.