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Finding the Third Proportional to 200,549 and 300,863

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Solution

The third proportional to 200,549 and 300,863 is: 451,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,549 : 300,863 = 300,863 : x
  2. Step 2: Convert to fraction form
    200,549/300,863 = 300,863/x
  3. Step 3: Cross multiply
    200,549x = 300,863 × 300,863
  4. Step 4: Simplify right side
    200,549x = 90,518,544,769
  5. Step 5: Solve for x
    x = 90,518,544,769/200,549
  6. Step 6: Final answer
    x = 451,353.76

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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.