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Finding the Third Proportional to 78.13 and 119.88

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Solution

The third proportional to 78.13 and 119.88 is: 183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.13 : 119.88 = 119.88 : x
  2. Step 2: Convert to fraction form
    78.13/119.88 = 119.88/x
  3. Step 3: Cross multiply
    78.13x = 119.88 × 119.88
  4. Step 4: Simplify right side
    78.13x = 14,370.02
  5. Step 5: Solve for x
    x = 14,370.02/78.13
  6. Step 6: Final answer
    x = 183.94

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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.