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Finding the Third Proportional to 120,715 and 259,838

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Solution

The third proportional to 120,715 and 259,838 is: 559,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,715 : 259,838 = 259,838 : x
  2. Step 2: Convert to fraction form
    120,715/259,838 = 259,838/x
  3. Step 3: Cross multiply
    120,715x = 259,838 × 259,838
  4. Step 4: Simplify right side
    120,715x = 67,515,786,244
  5. Step 5: Solve for x
    x = 67,515,786,244/120,715
  6. Step 6: Final answer
    x = 559,299.06

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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.