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Finding the Third Proportional to 1,226.39 and 1,723.78

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Solution

The third proportional to 1,226.39 and 1,723.78 is: 2,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.39 : 1,723.78 = 1,723.78 : x
  2. Step 2: Convert to fraction form
    1,226.39/1,723.78 = 1,723.78/x
  3. Step 3: Cross multiply
    1,226.39x = 1,723.78 × 1,723.78
  4. Step 4: Simplify right side
    1,226.39x = 2,971,421.80
  5. Step 5: Solve for x
    x = 2,971,421.80/1,226.39
  6. Step 6: Final answer
    x = 2,422.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.