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Finding the Third Proportional to 37,680 and 81,294

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Solution

The third proportional to 37,680 and 81,294 is: 175,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680 : 81,294 = 81,294 : x
  2. Step 2: Convert to fraction form
    37,680/81,294 = 81,294/x
  3. Step 3: Cross multiply
    37,680x = 81,294 × 81,294
  4. Step 4: Simplify right side
    37,680x = 6,608,714,436
  5. Step 5: Solve for x
    x = 6,608,714,436/37,680
  6. Step 6: Final answer
    x = 175,390.51

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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.