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Finding the Third Proportional to 156 and 246

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Solution

The third proportional to 156 and 246 is: 387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 246 = 246 : x
  2. Step 2: Convert to fraction form
    156/246 = 246/x
  3. Step 3: Cross multiply
    156x = 246 × 246
  4. Step 4: Simplify right side
    156x = 60,516
  5. Step 5: Solve for x
    x = 60,516/156
  6. Step 6: Final answer
    x = 387.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.