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Finding the Third Proportional to 217.37 and 473.13

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Solution

The third proportional to 217.37 and 473.13 is: 1,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.37 : 473.13 = 473.13 : x
  2. Step 2: Convert to fraction form
    217.37/473.13 = 473.13/x
  3. Step 3: Cross multiply
    217.37x = 473.13 × 473.13
  4. Step 4: Simplify right side
    217.37x = 223,854.66
  5. Step 5: Solve for x
    x = 223,854.66/217.37
  6. Step 6: Final answer
    x = 1,029.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.