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Finding the Third Proportional to 207,932 and 313,376

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Solution

The third proportional to 207,932 and 313,376 is: 472,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,932 : 313,376 = 313,376 : x
  2. Step 2: Convert to fraction form
    207,932/313,376 = 313,376/x
  3. Step 3: Cross multiply
    207,932x = 313,376 × 313,376
  4. Step 4: Simplify right side
    207,932x = 98,204,517,376
  5. Step 5: Solve for x
    x = 98,204,517,376/207,932
  6. Step 6: Final answer
    x = 472,291.51

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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.