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Finding the Third Proportional to 203,760 and 442,511

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Solution

The third proportional to 203,760 and 442,511 is: 961,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,760 : 442,511 = 442,511 : x
  2. Step 2: Convert to fraction form
    203,760/442,511 = 442,511/x
  3. Step 3: Cross multiply
    203,760x = 442,511 × 442,511
  4. Step 4: Simplify right side
    203,760x = 195,815,985,121
  5. Step 5: Solve for x
    x = 195,815,985,121/203,760
  6. Step 6: Final answer
    x = 961,012.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.