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Finding the Third Proportional to 15,481 and 33,920

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Solution

The third proportional to 15,481 and 33,920 is: 74,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,481 : 33,920 = 33,920 : x
  2. Step 2: Convert to fraction form
    15,481/33,920 = 33,920/x
  3. Step 3: Cross multiply
    15,481x = 33,920 × 33,920
  4. Step 4: Simplify right side
    15,481x = 1,150,566,400
  5. Step 5: Solve for x
    x = 1,150,566,400/15,481
  6. Step 6: Final answer
    x = 74,321.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.