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Finding the Third Proportional to 99.42 and 216.49

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Solution

The third proportional to 99.42 and 216.49 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 216.49 = 216.49 : x
  2. Step 2: Convert to fraction form
    99.42/216.49 = 216.49/x
  3. Step 3: Cross multiply
    99.42x = 216.49 × 216.49
  4. Step 4: Simplify right side
    99.42x = 46,868.87
  5. Step 5: Solve for x
    x = 46,868.87/99.42
  6. Step 6: Final answer
    x = 471.41

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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.