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Finding the Third Proportional to 27,480 and 55,920

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Solution

The third proportional to 27,480 and 55,920 is: 113,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480 : 55,920 = 55,920 : x
  2. Step 2: Convert to fraction form
    27,480/55,920 = 55,920/x
  3. Step 3: Cross multiply
    27,480x = 55,920 × 55,920
  4. Step 4: Simplify right side
    27,480x = 3,127,046,400
  5. Step 5: Solve for x
    x = 3,127,046,400/27,480
  6. Step 6: Final answer
    x = 113,793.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.