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Finding the Third Proportional to 27,940 and 43,291

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Solution

The third proportional to 27,940 and 43,291 is: 67,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940 : 43,291 = 43,291 : x
  2. Step 2: Convert to fraction form
    27,940/43,291 = 43,291/x
  3. Step 3: Cross multiply
    27,940x = 43,291 × 43,291
  4. Step 4: Simplify right side
    27,940x = 1,874,110,681
  5. Step 5: Solve for x
    x = 1,874,110,681/27,940
  6. Step 6: Final answer
    x = 67,076.26

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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.