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Finding the Third Proportional to 21,480 and 44,112

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Solution

The third proportional to 21,480 and 44,112 is: 90,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,480 : 44,112 = 44,112 : x
  2. Step 2: Convert to fraction form
    21,480/44,112 = 44,112/x
  3. Step 3: Cross multiply
    21,480x = 44,112 × 44,112
  4. Step 4: Simplify right side
    21,480x = 1,945,868,544
  5. Step 5: Solve for x
    x = 1,945,868,544/21,480
  6. Step 6: Final answer
    x = 90,589.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.