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Finding the Third Proportional to 120,351 and 261,114

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Solution

The third proportional to 120,351 and 261,114 is: 566,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,351 : 261,114 = 261,114 : x
  2. Step 2: Convert to fraction form
    120,351/261,114 = 261,114/x
  3. Step 3: Cross multiply
    120,351x = 261,114 × 261,114
  4. Step 4: Simplify right side
    120,351x = 68,180,520,996
  5. Step 5: Solve for x
    x = 68,180,520,996/120,351
  6. Step 6: Final answer
    x = 566,513.95

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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.