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Finding the Third Proportional to 89,994.75 and 193,344.84

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Solution

The third proportional to 89,994.75 and 193,344.84 is: 415,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,994.75 : 193,344.84 = 193,344.84 : x
  2. Step 2: Convert to fraction form
    89,994.75/193,344.84 = 193,344.84/x
  3. Step 3: Cross multiply
    89,994.75x = 193,344.84 × 193,344.84
  4. Step 4: Simplify right side
    89,994.75x = 37,382,228,604.71
  5. Step 5: Solve for x
    x = 37,382,228,604.71/89,994.75
  6. Step 6: Final answer
    x = 415,382.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.