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Finding the Third Proportional to 156.13 and 209.69

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Solution

The third proportional to 156.13 and 209.69 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 209.69 = 209.69 : x
  2. Step 2: Convert to fraction form
    156.13/209.69 = 209.69/x
  3. Step 3: Cross multiply
    156.13x = 209.69 × 209.69
  4. Step 4: Simplify right side
    156.13x = 43,968.85
  5. Step 5: Solve for x
    x = 43,968.85/156.13
  6. Step 6: Final answer
    x = 281.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.