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Finding the Third Proportional to 20,990 and 32,761.50

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Solution

The third proportional to 20,990 and 32,761.50 is: 51,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990 : 32,761.50 = 32,761.50 : x
  2. Step 2: Convert to fraction form
    20,990/32,761.50 = 32,761.50/x
  3. Step 3: Cross multiply
    20,990x = 32,761.50 × 32,761.50
  4. Step 4: Simplify right side
    20,990x = 1,073,315,882.25
  5. Step 5: Solve for x
    x = 1,073,315,882.25/20,990
  6. Step 6: Final answer
    x = 51,134.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.