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Finding the Third Proportional to 37,704 and 81,240

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Solution

The third proportional to 37,704 and 81,240 is: 175,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,704 : 81,240 = 81,240 : x
  2. Step 2: Convert to fraction form
    37,704/81,240 = 81,240/x
  3. Step 3: Cross multiply
    37,704x = 81,240 × 81,240
  4. Step 4: Simplify right side
    37,704x = 6,599,937,600
  5. Step 5: Solve for x
    x = 6,599,937,600/37,704
  6. Step 6: Final answer
    x = 175,046.09

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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.