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Finding the Third Proportional to 8,679.66 and 10,422.42

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Solution

The third proportional to 8,679.66 and 10,422.42 is: 12,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.66 : 10,422.42 = 10,422.42 : x
  2. Step 2: Convert to fraction form
    8,679.66/10,422.42 = 10,422.42/x
  3. Step 3: Cross multiply
    8,679.66x = 10,422.42 × 10,422.42
  4. Step 4: Simplify right side
    8,679.66x = 108,626,877.74
  5. Step 5: Solve for x
    x = 108,626,877.74/8,679.66
  6. Step 6: Final answer
    x = 12,515.11

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.