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Finding the Third Proportional to 317.67 and 346.78

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Solution

The third proportional to 317.67 and 346.78 is: 378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.67 : 346.78 = 346.78 : x
  2. Step 2: Convert to fraction form
    317.67/346.78 = 346.78/x
  3. Step 3: Cross multiply
    317.67x = 346.78 × 346.78
  4. Step 4: Simplify right side
    317.67x = 120,257.24
  5. Step 5: Solve for x
    x = 120,257.24/317.67
  6. Step 6: Final answer
    x = 378.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.