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Finding the Third Proportional to 217.93 and 474.31

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Solution

The third proportional to 217.93 and 474.31 is: 1,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.93 : 474.31 = 474.31 : x
  2. Step 2: Convert to fraction form
    217.93/474.31 = 474.31/x
  3. Step 3: Cross multiply
    217.93x = 474.31 × 474.31
  4. Step 4: Simplify right side
    217.93x = 224,972.58
  5. Step 5: Solve for x
    x = 224,972.58/217.93
  6. Step 6: Final answer
    x = 1,032.29

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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.