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Finding the Third Proportional to 43.78 and 115.22

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Solution

The third proportional to 43.78 and 115.22 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.78 : 115.22 = 115.22 : x
  2. Step 2: Convert to fraction form
    43.78/115.22 = 115.22/x
  3. Step 3: Cross multiply
    43.78x = 115.22 × 115.22
  4. Step 4: Simplify right side
    43.78x = 13,275.36
  5. Step 5: Solve for x
    x = 13,275.36/43.78
  6. Step 6: Final answer
    x = 303.22

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.