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Finding the Third Proportional to 201,949 and 410,521

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Solution

The third proportional to 201,949 and 410,521 is: 834,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,949 : 410,521 = 410,521 : x
  2. Step 2: Convert to fraction form
    201,949/410,521 = 410,521/x
  3. Step 3: Cross multiply
    201,949x = 410,521 × 410,521
  4. Step 4: Simplify right side
    201,949x = 168,527,491,441
  5. Step 5: Solve for x
    x = 168,527,491,441/201,949
  6. Step 6: Final answer
    x = 834,505.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.