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Finding the Third Proportional to 8,169.19 and 12,221.30

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Solution

The third proportional to 8,169.19 and 12,221.30 is: 18,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.19 : 12,221.30 = 12,221.30 : x
  2. Step 2: Convert to fraction form
    8,169.19/12,221.30 = 12,221.30/x
  3. Step 3: Cross multiply
    8,169.19x = 12,221.30 × 12,221.30
  4. Step 4: Simplify right side
    8,169.19x = 149,360,097.31
  5. Step 5: Solve for x
    x = 149,360,097.31/8,169.19
  6. Step 6: Final answer
    x = 18,283.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.