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Finding the Third Proportional to 263,376 and 397,356

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Solution

The third proportional to 263,376 and 397,356 is: 599,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,376 : 397,356 = 397,356 : x
  2. Step 2: Convert to fraction form
    263,376/397,356 = 397,356/x
  3. Step 3: Cross multiply
    263,376x = 397,356 × 397,356
  4. Step 4: Simplify right side
    263,376x = 157,891,790,736
  5. Step 5: Solve for x
    x = 157,891,790,736/263,376
  6. Step 6: Final answer
    x = 599,491.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.