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Finding the Third Proportional to 347.20 and 676.90

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Solution

The third proportional to 347.20 and 676.90 is: 1,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.20 : 676.90 = 676.90 : x
  2. Step 2: Convert to fraction form
    347.20/676.90 = 676.90/x
  3. Step 3: Cross multiply
    347.20x = 676.90 × 676.90
  4. Step 4: Simplify right side
    347.20x = 458,191.49
  5. Step 5: Solve for x
    x = 458,191.49/347.20
  6. Step 6: Final answer
    x = 1,319.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.