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Finding the Third Proportional to 217.88 and 465.23

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Solution

The third proportional to 217.88 and 465.23 is: 993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.88 : 465.23 = 465.23 : x
  2. Step 2: Convert to fraction form
    217.88/465.23 = 465.23/x
  3. Step 3: Cross multiply
    217.88x = 465.23 × 465.23
  4. Step 4: Simplify right side
    217.88x = 216,443.02
  5. Step 5: Solve for x
    x = 216,443.02/217.88
  6. Step 6: Final answer
    x = 993.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.