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Finding the Third Proportional to 15,589.50 and 20,331.38

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Solution

The third proportional to 15,589.50 and 20,331.38 is: 26,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.50 : 20,331.38 = 20,331.38 : x
  2. Step 2: Convert to fraction form
    15,589.50/20,331.38 = 20,331.38/x
  3. Step 3: Cross multiply
    15,589.50x = 20,331.38 × 20,331.38
  4. Step 4: Simplify right side
    15,589.50x = 413,364,809.39
  5. Step 5: Solve for x
    x = 413,364,809.39/15,589.50
  6. Step 6: Final answer
    x = 26,515.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.