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Finding the Third Proportional to 27,620 and 43,398

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Solution

The third proportional to 27,620 and 43,398 is: 68,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,620 : 43,398 = 43,398 : x
  2. Step 2: Convert to fraction form
    27,620/43,398 = 43,398/x
  3. Step 3: Cross multiply
    27,620x = 43,398 × 43,398
  4. Step 4: Simplify right side
    27,620x = 1,883,386,404
  5. Step 5: Solve for x
    x = 1,883,386,404/27,620
  6. Step 6: Final answer
    x = 68,189.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.