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Finding the Third Proportional to 217.85 and 461.32

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Solution

The third proportional to 217.85 and 461.32 is: 976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.85 : 461.32 = 461.32 : x
  2. Step 2: Convert to fraction form
    217.85/461.32 = 461.32/x
  3. Step 3: Cross multiply
    217.85x = 461.32 × 461.32
  4. Step 4: Simplify right side
    217.85x = 212,816.43
  5. Step 5: Solve for x
    x = 212,816.43/217.85
  6. Step 6: Final answer
    x = 976.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.