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Finding the Third Proportional to 10,481.20 and 15,579.21

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Solution

The third proportional to 10,481.20 and 15,579.21 is: 23,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.20 : 15,579.21 = 15,579.21 : x
  2. Step 2: Convert to fraction form
    10,481.20/15,579.21 = 15,579.21/x
  3. Step 3: Cross multiply
    10,481.20x = 15,579.21 × 15,579.21
  4. Step 4: Simplify right side
    10,481.20x = 242,711,813.44
  5. Step 5: Solve for x
    x = 242,711,813.44/10,481.20
  6. Step 6: Final answer
    x = 23,156.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.