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Finding the Third Proportional to 8,291.11 and 12,320.86

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Solution

The third proportional to 8,291.11 and 12,320.86 is: 18,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.11 : 12,320.86 = 12,320.86 : x
  2. Step 2: Convert to fraction form
    8,291.11/12,320.86 = 12,320.86/x
  3. Step 3: Cross multiply
    8,291.11x = 12,320.86 × 12,320.86
  4. Step 4: Simplify right side
    8,291.11x = 151,803,575.74
  5. Step 5: Solve for x
    x = 151,803,575.74/8,291.11
  6. Step 6: Final answer
    x = 18,309.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.