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Finding the Third Proportional to 347.75 and 374.75

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Solution

The third proportional to 347.75 and 374.75 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.75 : 374.75 = 374.75 : x
  2. Step 2: Convert to fraction form
    347.75/374.75 = 374.75/x
  3. Step 3: Cross multiply
    347.75x = 374.75 × 374.75
  4. Step 4: Simplify right side
    347.75x = 140,437.56
  5. Step 5: Solve for x
    x = 140,437.56/347.75
  6. Step 6: Final answer
    x = 403.85

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.