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Finding the Third Proportional to 78.09 and 119.20

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Solution

The third proportional to 78.09 and 119.20 is: 181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 119.20 = 119.20 : x
  2. Step 2: Convert to fraction form
    78.09/119.20 = 119.20/x
  3. Step 3: Cross multiply
    78.09x = 119.20 × 119.20
  4. Step 4: Simplify right side
    78.09x = 14,208.90
  5. Step 5: Solve for x
    x = 14,208.90/78.09
  6. Step 6: Final answer
    x = 181.96

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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.