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Finding the Third Proportional to 8,421.47 and 11,679.19

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Solution

The third proportional to 8,421.47 and 11,679.19 is: 16,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.47 : 11,679.19 = 11,679.19 : x
  2. Step 2: Convert to fraction form
    8,421.47/11,679.19 = 11,679.19/x
  3. Step 3: Cross multiply
    8,421.47x = 11,679.19 × 11,679.19
  4. Step 4: Simplify right side
    8,421.47x = 136,403,420.66
  5. Step 5: Solve for x
    x = 136,403,420.66/8,421.47
  6. Step 6: Final answer
    x = 16,197.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.