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Finding the Third Proportional to 37,209 and 81,645

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Solution

The third proportional to 37,209 and 81,645 is: 179,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209 : 81,645 = 81,645 : x
  2. Step 2: Convert to fraction form
    37,209/81,645 = 81,645/x
  3. Step 3: Cross multiply
    37,209x = 81,645 × 81,645
  4. Step 4: Simplify right side
    37,209x = 6,665,906,025
  5. Step 5: Solve for x
    x = 6,665,906,025/37,209
  6. Step 6: Final answer
    x = 179,147.68

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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.