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Finding the Third Proportional to 200,530 and 299,782

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Solution

The third proportional to 200,530 and 299,782 is: 448,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530 : 299,782 = 299,782 : x
  2. Step 2: Convert to fraction form
    200,530/299,782 = 299,782/x
  3. Step 3: Cross multiply
    200,530x = 299,782 × 299,782
  4. Step 4: Simplify right side
    200,530x = 89,869,247,524
  5. Step 5: Solve for x
    x = 89,869,247,524/200,530
  6. Step 6: Final answer
    x = 448,158.62

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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.