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Finding the Third Proportional to 37,630.50 and 81,138

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Solution

The third proportional to 37,630.50 and 81,138 is: 174,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630.50 : 81,138 = 81,138 : x
  2. Step 2: Convert to fraction form
    37,630.50/81,138 = 81,138/x
  3. Step 3: Cross multiply
    37,630.50x = 81,138 × 81,138
  4. Step 4: Simplify right side
    37,630.50x = 6,583,375,044
  5. Step 5: Solve for x
    x = 6,583,375,044/37,630.50
  6. Step 6: Final answer
    x = 174,947.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.