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Finding the Third Proportional to 207,839 and 313,246

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Solution

The third proportional to 207,839 and 313,246 is: 472,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,839 : 313,246 = 313,246 : x
  2. Step 2: Convert to fraction form
    207,839/313,246 = 313,246/x
  3. Step 3: Cross multiply
    207,839x = 313,246 × 313,246
  4. Step 4: Simplify right side
    207,839x = 98,123,056,516
  5. Step 5: Solve for x
    x = 98,123,056,516/207,839
  6. Step 6: Final answer
    x = 472,110.90

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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.