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Finding the Third Proportional to 26.91 and 42.84

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Solution

The third proportional to 26.91 and 42.84 is: 68.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.91 : 42.84 = 42.84 : x
  2. Step 2: Convert to fraction form
    26.91/42.84 = 42.84/x
  3. Step 3: Cross multiply
    26.91x = 42.84 × 42.84
  4. Step 4: Simplify right side
    26.91x = 1,835.59
  5. Step 5: Solve for x
    x = 1,835.59/26.91
  6. Step 6: Final answer
    x = 68.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.