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Finding the Third Proportional to 37,661 and 81,158

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Solution

The third proportional to 37,661 and 81,158 is: 174,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661 : 81,158 = 81,158 : x
  2. Step 2: Convert to fraction form
    37,661/81,158 = 81,158/x
  3. Step 3: Cross multiply
    37,661x = 81,158 × 81,158
  4. Step 4: Simplify right side
    37,661x = 6,586,620,964
  5. Step 5: Solve for x
    x = 6,586,620,964/37,661
  6. Step 6: Final answer
    x = 174,892.35

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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.