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Finding the Third Proportional to 120,383 and 259,265

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Solution

The third proportional to 120,383 and 259,265 is: 558,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,383 : 259,265 = 259,265 : x
  2. Step 2: Convert to fraction form
    120,383/259,265 = 259,265/x
  3. Step 3: Cross multiply
    120,383x = 259,265 × 259,265
  4. Step 4: Simplify right side
    120,383x = 67,218,340,225
  5. Step 5: Solve for x
    x = 67,218,340,225/120,383
  6. Step 6: Final answer
    x = 558,370.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.