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Finding the Third Proportional to 99.11 and 225.77

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Solution

The third proportional to 99.11 and 225.77 is: 514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.11 : 225.77 = 225.77 : x
  2. Step 2: Convert to fraction form
    99.11/225.77 = 225.77/x
  3. Step 3: Cross multiply
    99.11x = 225.77 × 225.77
  4. Step 4: Simplify right side
    99.11x = 50,973.65
  5. Step 5: Solve for x
    x = 50,973.65/99.11
  6. Step 6: Final answer
    x = 514.34

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.