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Finding the Third Proportional to 200,330 and 299,859

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Solution

The third proportional to 200,330 and 299,859 is: 448,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,330 : 299,859 = 299,859 : x
  2. Step 2: Convert to fraction form
    200,330/299,859 = 299,859/x
  3. Step 3: Cross multiply
    200,330x = 299,859 × 299,859
  4. Step 4: Simplify right side
    200,330x = 89,915,419,881
  5. Step 5: Solve for x
    x = 89,915,419,881/200,330
  6. Step 6: Final answer
    x = 448,836.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.