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Finding the Third Proportional to 120,873 and 261,834

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Solution

The third proportional to 120,873 and 261,834 is: 567,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,873 : 261,834 = 261,834 : x
  2. Step 2: Convert to fraction form
    120,873/261,834 = 261,834/x
  3. Step 3: Cross multiply
    120,873x = 261,834 × 261,834
  4. Step 4: Simplify right side
    120,873x = 68,557,043,556
  5. Step 5: Solve for x
    x = 68,557,043,556/120,873
  6. Step 6: Final answer
    x = 567,182.44

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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.