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Finding the Third Proportional to 78,325 and 170,761

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Solution

The third proportional to 78,325 and 170,761 is: 372,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,325 : 170,761 = 170,761 : x
  2. Step 2: Convert to fraction form
    78,325/170,761 = 170,761/x
  3. Step 3: Cross multiply
    78,325x = 170,761 × 170,761
  4. Step 4: Simplify right side
    78,325x = 29,159,319,121
  5. Step 5: Solve for x
    x = 29,159,319,121/78,325
  6. Step 6: Final answer
    x = 372,286.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.