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Finding the Third Proportional to 109.69 and 156.19

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Solution

The third proportional to 109.69 and 156.19 is: 222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.69 : 156.19 = 156.19 : x
  2. Step 2: Convert to fraction form
    109.69/156.19 = 156.19/x
  3. Step 3: Cross multiply
    109.69x = 156.19 × 156.19
  4. Step 4: Simplify right side
    109.69x = 24,394.54
  5. Step 5: Solve for x
    x = 24,394.54/109.69
  6. Step 6: Final answer
    x = 222.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.