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Finding the Third Proportional to 217.85 and 476.98

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Solution

The third proportional to 217.85 and 476.98 is: 1,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.85 : 476.98 = 476.98 : x
  2. Step 2: Convert to fraction form
    217.85/476.98 = 476.98/x
  3. Step 3: Cross multiply
    217.85x = 476.98 × 476.98
  4. Step 4: Simplify right side
    217.85x = 227,512.23
  5. Step 5: Solve for x
    x = 227,512.23/217.85
  6. Step 6: Final answer
    x = 1,044.37

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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.