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Finding the Third Proportional to 88,894.50 and 192,544.50

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Solution

The third proportional to 88,894.50 and 192,544.50 is: 417,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,894.50 : 192,544.50 = 192,544.50 : x
  2. Step 2: Convert to fraction form
    88,894.50/192,544.50 = 192,544.50/x
  3. Step 3: Cross multiply
    88,894.50x = 192,544.50 × 192,544.50
  4. Step 4: Simplify right side
    88,894.50x = 37,073,384,480.25
  5. Step 5: Solve for x
    x = 37,073,384,480.25/88,894.50
  6. Step 6: Final answer
    x = 417,049.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.