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Finding the Third Proportional to 40,546 and 94,197

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Solution

The third proportional to 40,546 and 94,197 is: 218,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,546 : 94,197 = 94,197 : x
  2. Step 2: Convert to fraction form
    40,546/94,197 = 94,197/x
  3. Step 3: Cross multiply
    40,546x = 94,197 × 94,197
  4. Step 4: Simplify right side
    40,546x = 8,873,074,809
  5. Step 5: Solve for x
    x = 8,873,074,809/40,546
  6. Step 6: Final answer
    x = 218,839.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.