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Finding the Third Proportional to 120,599 and 261,286

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Solution

The third proportional to 120,599 and 261,286 is: 566,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,599 : 261,286 = 261,286 : x
  2. Step 2: Convert to fraction form
    120,599/261,286 = 261,286/x
  3. Step 3: Cross multiply
    120,599x = 261,286 × 261,286
  4. Step 4: Simplify right side
    120,599x = 68,270,373,796
  5. Step 5: Solve for x
    x = 68,270,373,796/120,599
  6. Step 6: Final answer
    x = 566,094.03

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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.