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Finding the Third Proportional to 217.31 and 474.94

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Solution

The third proportional to 217.31 and 474.94 is: 1,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 474.94 = 474.94 : x
  2. Step 2: Convert to fraction form
    217.31/474.94 = 474.94/x
  3. Step 3: Cross multiply
    217.31x = 474.94 × 474.94
  4. Step 4: Simplify right side
    217.31x = 225,565.63
  5. Step 5: Solve for x
    x = 225,565.63/217.31
  6. Step 6: Final answer
    x = 1,037.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.