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Finding the Third Proportional to 66,947 and 91,799

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Solution

The third proportional to 66,947 and 91,799 is: 125,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,947 : 91,799 = 91,799 : x
  2. Step 2: Convert to fraction form
    66,947/91,799 = 91,799/x
  3. Step 3: Cross multiply
    66,947x = 91,799 × 91,799
  4. Step 4: Simplify right side
    66,947x = 8,427,056,401
  5. Step 5: Solve for x
    x = 8,427,056,401/66,947
  6. Step 6: Final answer
    x = 125,876.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.