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Finding the Third Proportional to 120,859 and 263,383

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Solution

The third proportional to 120,859 and 263,383 is: 573,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859 : 263,383 = 263,383 : x
  2. Step 2: Convert to fraction form
    120,859/263,383 = 263,383/x
  3. Step 3: Cross multiply
    120,859x = 263,383 × 263,383
  4. Step 4: Simplify right side
    120,859x = 69,370,604,689
  5. Step 5: Solve for x
    x = 69,370,604,689/120,859
  6. Step 6: Final answer
    x = 573,979.63

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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.