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Finding the Third Proportional to 27.81 and 43.84

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Solution

The third proportional to 27.81 and 43.84 is: 69.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.81 : 43.84 = 43.84 : x
  2. Step 2: Convert to fraction form
    27.81/43.84 = 43.84/x
  3. Step 3: Cross multiply
    27.81x = 43.84 × 43.84
  4. Step 4: Simplify right side
    27.81x = 1,922.27
  5. Step 5: Solve for x
    x = 1,922.27/27.81
  6. Step 6: Final answer
    x = 69.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.