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Finding the Third Proportional to 39,018 and 82,680

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Solution

The third proportional to 39,018 and 82,680 is: 175,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,018 : 82,680 = 82,680 : x
  2. Step 2: Convert to fraction form
    39,018/82,680 = 82,680/x
  3. Step 3: Cross multiply
    39,018x = 82,680 × 82,680
  4. Step 4: Simplify right side
    39,018x = 6,835,982,400
  5. Step 5: Solve for x
    x = 6,835,982,400/39,018
  6. Step 6: Final answer
    x = 175,200.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.