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Finding the Third Proportional to 676.41 and 1,282.78

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Solution

The third proportional to 676.41 and 1,282.78 is: 2,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.41 : 1,282.78 = 1,282.78 : x
  2. Step 2: Convert to fraction form
    676.41/1,282.78 = 1,282.78/x
  3. Step 3: Cross multiply
    676.41x = 1,282.78 × 1,282.78
  4. Step 4: Simplify right side
    676.41x = 1,645,527.74
  5. Step 5: Solve for x
    x = 1,645,527.74/676.41
  6. Step 6: Final answer
    x = 2,432.75

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.