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Finding the Third Proportional to 121,869 and 131,406

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Solution

The third proportional to 121,869 and 131,406 is: 141,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,869 : 131,406 = 131,406 : x
  2. Step 2: Convert to fraction form
    121,869/131,406 = 131,406/x
  3. Step 3: Cross multiply
    121,869x = 131,406 × 131,406
  4. Step 4: Simplify right side
    121,869x = 17,267,536,836
  5. Step 5: Solve for x
    x = 17,267,536,836/121,869
  6. Step 6: Final answer
    x = 141,689.33

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.