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Finding the Third Proportional to 37,880 and 81,448

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Solution

The third proportional to 37,880 and 81,448 is: 175,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880 : 81,448 = 81,448 : x
  2. Step 2: Convert to fraction form
    37,880/81,448 = 81,448/x
  3. Step 3: Cross multiply
    37,880x = 81,448 × 81,448
  4. Step 4: Simplify right side
    37,880x = 6,633,776,704
  5. Step 5: Solve for x
    x = 6,633,776,704/37,880
  6. Step 6: Final answer
    x = 175,126.10

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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.