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Finding the Third Proportional to 8,169.19 and 12,242.81

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Solution

The third proportional to 8,169.19 and 12,242.81 is: 18,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.19 : 12,242.81 = 12,242.81 : x
  2. Step 2: Convert to fraction form
    8,169.19/12,242.81 = 12,242.81/x
  3. Step 3: Cross multiply
    8,169.19x = 12,242.81 × 12,242.81
  4. Step 4: Simplify right side
    8,169.19x = 149,886,457.91
  5. Step 5: Solve for x
    x = 149,886,457.91/8,169.19
  6. Step 6: Final answer
    x = 18,347.78

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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.