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Finding the Third Proportional to 84 and 156

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Solution

The third proportional to 84 and 156 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 156 = 156 : x
  2. Step 2: Convert to fraction form
    84/156 = 156/x
  3. Step 3: Cross multiply
    84x = 156 × 156
  4. Step 4: Simplify right side
    84x = 24,336
  5. Step 5: Solve for x
    x = 24,336/84
  6. Step 6: Final answer
    x = 289.71

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.