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Finding the Third Proportional to 216.91 and 292.92

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Solution

The third proportional to 216.91 and 292.92 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.91 : 292.92 = 292.92 : x
  2. Step 2: Convert to fraction form
    216.91/292.92 = 292.92/x
  3. Step 3: Cross multiply
    216.91x = 292.92 × 292.92
  4. Step 4: Simplify right side
    216.91x = 85,803.22
  5. Step 5: Solve for x
    x = 85,803.22/216.91
  6. Step 6: Final answer
    x = 395.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.