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Finding the Third Proportional to 207,236 and 309,571

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Solution

The third proportional to 207,236 and 309,571 is: 462,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,236 : 309,571 = 309,571 : x
  2. Step 2: Convert to fraction form
    207,236/309,571 = 309,571/x
  3. Step 3: Cross multiply
    207,236x = 309,571 × 309,571
  4. Step 4: Simplify right side
    207,236x = 95,834,204,041
  5. Step 5: Solve for x
    x = 95,834,204,041/207,236
  6. Step 6: Final answer
    x = 462,439.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.