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Finding the Third Proportional to 27,480 and 38,820

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Solution

The third proportional to 27,480 and 38,820 is: 54,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480 : 38,820 = 38,820 : x
  2. Step 2: Convert to fraction form
    27,480/38,820 = 38,820/x
  3. Step 3: Cross multiply
    27,480x = 38,820 × 38,820
  4. Step 4: Simplify right side
    27,480x = 1,506,992,400
  5. Step 5: Solve for x
    x = 1,506,992,400/27,480
  6. Step 6: Final answer
    x = 54,839.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.