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Finding the Third Proportional to 423.14 and 676.90

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Solution

The third proportional to 423.14 and 676.90 is: 1,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.14 : 676.90 = 676.90 : x
  2. Step 2: Convert to fraction form
    423.14/676.90 = 676.90/x
  3. Step 3: Cross multiply
    423.14x = 676.90 × 676.90
  4. Step 4: Simplify right side
    423.14x = 458,191.49
  5. Step 5: Solve for x
    x = 458,191.49/423.14
  6. Step 6: Final answer
    x = 1,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.