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Finding the Third Proportional to 121,869 and 183,653

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Solution

The third proportional to 121,869 and 183,653 is: 276,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,869 : 183,653 = 183,653 : x
  2. Step 2: Convert to fraction form
    121,869/183,653 = 183,653/x
  3. Step 3: Cross multiply
    121,869x = 183,653 × 183,653
  4. Step 4: Simplify right side
    121,869x = 33,728,424,409
  5. Step 5: Solve for x
    x = 33,728,424,409/121,869
  6. Step 6: Final answer
    x = 276,759.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.