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Finding the Third Proportional to 217 and 315.25

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Solution

The third proportional to 217 and 315.25 is: 457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217 : 315.25 = 315.25 : x
  2. Step 2: Convert to fraction form
    217/315.25 = 315.25/x
  3. Step 3: Cross multiply
    217x = 315.25 × 315.25
  4. Step 4: Simplify right side
    217x = 99,382.56
  5. Step 5: Solve for x
    x = 99,382.56/217
  6. Step 6: Final answer
    x = 457.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.