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Finding the Third Proportional to 156,936 and 342,302

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Solution

The third proportional to 156,936 and 342,302 is: 746,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,936 : 342,302 = 342,302 : x
  2. Step 2: Convert to fraction form
    156,936/342,302 = 342,302/x
  3. Step 3: Cross multiply
    156,936x = 342,302 × 342,302
  4. Step 4: Simplify right side
    156,936x = 117,170,659,204
  5. Step 5: Solve for x
    x = 117,170,659,204/156,936
  6. Step 6: Final answer
    x = 746,614.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.