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Finding the Third Proportional to 156,956 and 336,376

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Solution

The third proportional to 156,956 and 336,376 is: 720,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,956 : 336,376 = 336,376 : x
  2. Step 2: Convert to fraction form
    156,956/336,376 = 336,376/x
  3. Step 3: Cross multiply
    156,956x = 336,376 × 336,376
  4. Step 4: Simplify right side
    156,956x = 113,148,813,376
  5. Step 5: Solve for x
    x = 113,148,813,376/156,956
  6. Step 6: Final answer
    x = 720,895.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.