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Finding the Third Proportional to 7,992.42 and 18,471.80

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Solution

The third proportional to 7,992.42 and 18,471.80 is: 42,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.42 : 18,471.80 = 18,471.80 : x
  2. Step 2: Convert to fraction form
    7,992.42/18,471.80 = 18,471.80/x
  3. Step 3: Cross multiply
    7,992.42x = 18,471.80 × 18,471.80
  4. Step 4: Simplify right side
    7,992.42x = 341,207,279.79
  5. Step 5: Solve for x
    x = 341,207,279.79/7,992.42
  6. Step 6: Final answer
    x = 42,691.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.