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Finding the Third Proportional to 78.28 and 119.91

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Solution

The third proportional to 78.28 and 119.91 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.28 : 119.91 = 119.91 : x
  2. Step 2: Convert to fraction form
    78.28/119.91 = 119.91/x
  3. Step 3: Cross multiply
    78.28x = 119.91 × 119.91
  4. Step 4: Simplify right side
    78.28x = 14,377.51
  5. Step 5: Solve for x
    x = 14,377.51/78.28
  6. Step 6: Final answer
    x = 183.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.