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Finding the Third Proportional to 68,974 and 92,690

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Solution

The third proportional to 68,974 and 92,690 is: 124,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,974 : 92,690 = 92,690 : x
  2. Step 2: Convert to fraction form
    68,974/92,690 = 92,690/x
  3. Step 3: Cross multiply
    68,974x = 92,690 × 92,690
  4. Step 4: Simplify right side
    68,974x = 8,591,436,100
  5. Step 5: Solve for x
    x = 8,591,436,100/68,974
  6. Step 6: Final answer
    x = 124,560.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.