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Finding the Third Proportional to 8,412.19 and 12,226.78

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Solution

The third proportional to 8,412.19 and 12,226.78 is: 17,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.19 : 12,226.78 = 12,226.78 : x
  2. Step 2: Convert to fraction form
    8,412.19/12,226.78 = 12,226.78/x
  3. Step 3: Cross multiply
    8,412.19x = 12,226.78 × 12,226.78
  4. Step 4: Simplify right side
    8,412.19x = 149,494,179.74
  5. Step 5: Solve for x
    x = 149,494,179.74/8,412.19
  6. Step 6: Final answer
    x = 17,771.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.