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Finding the Third Proportional to 120,855 and 263,215

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Solution

The third proportional to 120,855 and 263,215 is: 573,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855 : 263,215 = 263,215 : x
  2. Step 2: Convert to fraction form
    120,855/263,215 = 263,215/x
  3. Step 3: Cross multiply
    120,855x = 263,215 × 263,215
  4. Step 4: Simplify right side
    120,855x = 69,282,136,225
  5. Step 5: Solve for x
    x = 69,282,136,225/120,855
  6. Step 6: Final answer
    x = 573,266.61

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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.