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Finding the Third Proportional to 120,826 and 183,903

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Solution

The third proportional to 120,826 and 183,903 is: 279,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,826 : 183,903 = 183,903 : x
  2. Step 2: Convert to fraction form
    120,826/183,903 = 183,903/x
  3. Step 3: Cross multiply
    120,826x = 183,903 × 183,903
  4. Step 4: Simplify right side
    120,826x = 33,820,313,409
  5. Step 5: Solve for x
    x = 33,820,313,409/120,826
  6. Step 6: Final answer
    x = 279,909.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.