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Finding the Third Proportional to 217.58 and 471.23

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Solution

The third proportional to 217.58 and 471.23 is: 1,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.58 : 471.23 = 471.23 : x
  2. Step 2: Convert to fraction form
    217.58/471.23 = 471.23/x
  3. Step 3: Cross multiply
    217.58x = 471.23 × 471.23
  4. Step 4: Simplify right side
    217.58x = 222,061.84
  5. Step 5: Solve for x
    x = 222,061.84/217.58
  6. Step 6: Final answer
    x = 1,020.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.