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Finding the Third Proportional to 37,438 and 81,908

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Solution

The third proportional to 37,438 and 81,908 is: 179,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,438 : 81,908 = 81,908 : x
  2. Step 2: Convert to fraction form
    37,438/81,908 = 81,908/x
  3. Step 3: Cross multiply
    37,438x = 81,908 × 81,908
  4. Step 4: Simplify right side
    37,438x = 6,708,920,464
  5. Step 5: Solve for x
    x = 6,708,920,464/37,438
  6. Step 6: Final answer
    x = 179,200.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.