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Finding the Third Proportional to 13,122.56 and 20,169.84

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Solution

The third proportional to 13,122.56 and 20,169.84 is: 31,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.56 : 20,169.84 = 20,169.84 : x
  2. Step 2: Convert to fraction form
    13,122.56/20,169.84 = 20,169.84/x
  3. Step 3: Cross multiply
    13,122.56x = 20,169.84 × 20,169.84
  4. Step 4: Simplify right side
    13,122.56x = 406,822,596.90
  5. Step 5: Solve for x
    x = 406,822,596.90/13,122.56
  6. Step 6: Final answer
    x = 31,001.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.