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Finding the Third Proportional to 120,816 and 261,543

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Solution

The third proportional to 120,816 and 261,543 is: 566,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816 : 261,543 = 261,543 : x
  2. Step 2: Convert to fraction form
    120,816/261,543 = 261,543/x
  3. Step 3: Cross multiply
    120,816x = 261,543 × 261,543
  4. Step 4: Simplify right side
    120,816x = 68,404,740,849
  5. Step 5: Solve for x
    x = 68,404,740,849/120,816
  6. Step 6: Final answer
    x = 566,189.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.