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Finding the Third Proportional to 88,143.75 and 192,246.19

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Solution

The third proportional to 88,143.75 and 192,246.19 is: 419,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,143.75 : 192,246.19 = 192,246.19 : x
  2. Step 2: Convert to fraction form
    88,143.75/192,246.19 = 192,246.19/x
  3. Step 3: Cross multiply
    88,143.75x = 192,246.19 × 192,246.19
  4. Step 4: Simplify right side
    88,143.75x = 36,958,596,608.29
  5. Step 5: Solve for x
    x = 36,958,596,608.29/88,143.75
  6. Step 6: Final answer
    x = 419,299.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.