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Finding the Third Proportional to 15,382.13 and 20,197.69

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Solution

The third proportional to 15,382.13 and 20,197.69 is: 26,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.13 : 20,197.69 = 20,197.69 : x
  2. Step 2: Convert to fraction form
    15,382.13/20,197.69 = 20,197.69/x
  3. Step 3: Cross multiply
    15,382.13x = 20,197.69 × 20,197.69
  4. Step 4: Simplify right side
    15,382.13x = 407,946,580.35
  5. Step 5: Solve for x
    x = 407,946,580.35/15,382.13
  6. Step 6: Final answer
    x = 26,520.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.