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Finding the Third Proportional to 45.11 and 107.01

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Solution

The third proportional to 45.11 and 107.01 is: 253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.11 : 107.01 = 107.01 : x
  2. Step 2: Convert to fraction form
    45.11/107.01 = 107.01/x
  3. Step 3: Cross multiply
    45.11x = 107.01 × 107.01
  4. Step 4: Simplify right side
    45.11x = 11,451.82
  5. Step 5: Solve for x
    x = 11,451.82/45.11
  6. Step 6: Final answer
    x = 253.87

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.