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Finding the Third Proportional to 13,161.87 and 20,231.65

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Solution

The third proportional to 13,161.87 and 20,231.65 is: 31,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.87 : 20,231.65 = 20,231.65 : x
  2. Step 2: Convert to fraction form
    13,161.87/20,231.65 = 20,231.65/x
  3. Step 3: Cross multiply
    13,161.87x = 20,231.65 × 20,231.65
  4. Step 4: Simplify right side
    13,161.87x = 409,319,598.50
  5. Step 5: Solve for x
    x = 409,319,598.50/13,161.87
  6. Step 6: Final answer
    x = 31,098.90

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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.