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Finding the Third Proportional to 37,657 and 81,149

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Solution

The third proportional to 37,657 and 81,149 is: 174,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657 : 81,149 = 81,149 : x
  2. Step 2: Convert to fraction form
    37,657/81,149 = 81,149/x
  3. Step 3: Cross multiply
    37,657x = 81,149 × 81,149
  4. Step 4: Simplify right side
    37,657x = 6,585,160,201
  5. Step 5: Solve for x
    x = 6,585,160,201/37,657
  6. Step 6: Final answer
    x = 174,872.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.