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Finding the Third Proportional to 18,982 and 28,540

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Solution

The third proportional to 18,982 and 28,540 is: 42,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,982 : 28,540 = 28,540 : x
  2. Step 2: Convert to fraction form
    18,982/28,540 = 28,540/x
  3. Step 3: Cross multiply
    18,982x = 28,540 × 28,540
  4. Step 4: Simplify right side
    18,982x = 814,531,600
  5. Step 5: Solve for x
    x = 814,531,600/18,982
  6. Step 6: Final answer
    x = 42,910.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.