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Finding the Third Proportional to 37,680 and 81,275

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Solution

The third proportional to 37,680 and 81,275 is: 175,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680 : 81,275 = 81,275 : x
  2. Step 2: Convert to fraction form
    37,680/81,275 = 81,275/x
  3. Step 3: Cross multiply
    37,680x = 81,275 × 81,275
  4. Step 4: Simplify right side
    37,680x = 6,605,625,625
  5. Step 5: Solve for x
    x = 6,605,625,625/37,680
  6. Step 6: Final answer
    x = 175,308.54

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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.