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Finding the Third Proportional to 37,127 and 81,605

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Solution

The third proportional to 37,127 and 81,605 is: 179,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,127 : 81,605 = 81,605 : x
  2. Step 2: Convert to fraction form
    37,127/81,605 = 81,605/x
  3. Step 3: Cross multiply
    37,127x = 81,605 × 81,605
  4. Step 4: Simplify right side
    37,127x = 6,659,376,025
  5. Step 5: Solve for x
    x = 6,659,376,025/37,127
  6. Step 6: Final answer
    x = 179,367.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.