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Finding the Third Proportional to 217.31 and 349.78

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Solution

The third proportional to 217.31 and 349.78 is: 563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 349.78 = 349.78 : x
  2. Step 2: Convert to fraction form
    217.31/349.78 = 349.78/x
  3. Step 3: Cross multiply
    217.31x = 349.78 × 349.78
  4. Step 4: Simplify right side
    217.31x = 122,346.92
  5. Step 5: Solve for x
    x = 122,346.92/217.31
  6. Step 6: Final answer
    x = 563.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.