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Finding the Third Proportional to 156.80 and 239.29

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Solution

The third proportional to 156.80 and 239.29 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 239.29 = 239.29 : x
  2. Step 2: Convert to fraction form
    156.80/239.29 = 239.29/x
  3. Step 3: Cross multiply
    156.80x = 239.29 × 239.29
  4. Step 4: Simplify right side
    156.80x = 57,260.72
  5. Step 5: Solve for x
    x = 57,260.72/156.80
  6. Step 6: Final answer
    x = 365.19

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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.