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Finding the Third Proportional to 27,890 and 61,396

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Solution

The third proportional to 27,890 and 61,396 is: 135,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,890 : 61,396 = 61,396 : x
  2. Step 2: Convert to fraction form
    27,890/61,396 = 61,396/x
  3. Step 3: Cross multiply
    27,890x = 61,396 × 61,396
  4. Step 4: Simplify right side
    27,890x = 3,769,468,816
  5. Step 5: Solve for x
    x = 3,769,468,816/27,890
  6. Step 6: Final answer
    x = 135,154.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.