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Finding the Third Proportional to 217.88 and 315

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Solution

The third proportional to 217.88 and 315 is: 455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.88 : 315 = 315 : x
  2. Step 2: Convert to fraction form
    217.88/315 = 315/x
  3. Step 3: Cross multiply
    217.88x = 315 × 315
  4. Step 4: Simplify right side
    217.88x = 99,225
  5. Step 5: Solve for x
    x = 99,225/217.88
  6. Step 6: Final answer
    x = 455.42

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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.