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Finding the Third Proportional to 37,127 and 81,639

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Solution

The third proportional to 37,127 and 81,639 is: 179,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,127 : 81,639 = 81,639 : x
  2. Step 2: Convert to fraction form
    37,127/81,639 = 81,639/x
  3. Step 3: Cross multiply
    37,127x = 81,639 × 81,639
  4. Step 4: Simplify right side
    37,127x = 6,664,926,321
  5. Step 5: Solve for x
    x = 6,664,926,321/37,127
  6. Step 6: Final answer
    x = 179,516.96

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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.