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Finding the Third Proportional to 27,684 and 42,982

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Solution

The third proportional to 27,684 and 42,982 is: 66,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 42,982 = 42,982 : x
  2. Step 2: Convert to fraction form
    27,684/42,982 = 42,982/x
  3. Step 3: Cross multiply
    27,684x = 42,982 × 42,982
  4. Step 4: Simplify right side
    27,684x = 1,847,452,324
  5. Step 5: Solve for x
    x = 1,847,452,324/27,684
  6. Step 6: Final answer
    x = 66,733.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.