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Finding the Third Proportional to 67,928 and 147,517

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Solution

The third proportional to 67,928 and 147,517 is: 320,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,928 : 147,517 = 147,517 : x
  2. Step 2: Convert to fraction form
    67,928/147,517 = 147,517/x
  3. Step 3: Cross multiply
    67,928x = 147,517 × 147,517
  4. Step 4: Simplify right side
    67,928x = 21,761,265,289
  5. Step 5: Solve for x
    x = 21,761,265,289/67,928
  6. Step 6: Final answer
    x = 320,357.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.