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Finding the Third Proportional to 120,296 and 261,085

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Solution

The third proportional to 120,296 and 261,085 is: 566,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,296 : 261,085 = 261,085 : x
  2. Step 2: Convert to fraction form
    120,296/261,085 = 261,085/x
  3. Step 3: Cross multiply
    120,296x = 261,085 × 261,085
  4. Step 4: Simplify right side
    120,296x = 68,165,377,225
  5. Step 5: Solve for x
    x = 68,165,377,225/120,296
  6. Step 6: Final answer
    x = 566,647.08

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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.