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Finding the Third Proportional to 120,538 and 262,218

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Solution

The third proportional to 120,538 and 262,218 is: 570,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538 : 262,218 = 262,218 : x
  2. Step 2: Convert to fraction form
    120,538/262,218 = 262,218/x
  3. Step 3: Cross multiply
    120,538x = 262,218 × 262,218
  4. Step 4: Simplify right side
    120,538x = 68,758,279,524
  5. Step 5: Solve for x
    x = 68,758,279,524/120,538
  6. Step 6: Final answer
    x = 570,428.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.