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Finding the Third Proportional to 109.78 and 170.84

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Solution

The third proportional to 109.78 and 170.84 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 170.84 = 170.84 : x
  2. Step 2: Convert to fraction form
    109.78/170.84 = 170.84/x
  3. Step 3: Cross multiply
    109.78x = 170.84 × 170.84
  4. Step 4: Simplify right side
    109.78x = 29,187.59
  5. Step 5: Solve for x
    x = 29,187.59/109.78
  6. Step 6: Final answer
    x = 265.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.