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Finding the Third Proportional to 10,132.88 and 20,766.75

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Solution

The third proportional to 10,132.88 and 20,766.75 is: 42,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.88 : 20,766.75 = 20,766.75 : x
  2. Step 2: Convert to fraction form
    10,132.88/20,766.75 = 20,766.75/x
  3. Step 3: Cross multiply
    10,132.88x = 20,766.75 × 20,766.75
  4. Step 4: Simplify right side
    10,132.88x = 431,257,905.56
  5. Step 5: Solve for x
    x = 431,257,905.56/10,132.88
  6. Step 6: Final answer
    x = 42,560.27

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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.