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Finding the Third Proportional to 98.46 and 216.11

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Solution

The third proportional to 98.46 and 216.11 is: 474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.46 : 216.11 = 216.11 : x
  2. Step 2: Convert to fraction form
    98.46/216.11 = 216.11/x
  3. Step 3: Cross multiply
    98.46x = 216.11 × 216.11
  4. Step 4: Simplify right side
    98.46x = 46,701.57
  5. Step 5: Solve for x
    x = 46,701.57/98.46
  6. Step 6: Final answer
    x = 474.34

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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.