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Finding the Third Proportional to 90,143.50 and 192,351.50

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Solution

The third proportional to 90,143.50 and 192,351.50 is: 410,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,143.50 : 192,351.50 = 192,351.50 : x
  2. Step 2: Convert to fraction form
    90,143.50/192,351.50 = 192,351.50/x
  3. Step 3: Cross multiply
    90,143.50x = 192,351.50 × 192,351.50
  4. Step 4: Simplify right side
    90,143.50x = 36,999,099,552.25
  5. Step 5: Solve for x
    x = 36,999,099,552.25/90,143.50
  6. Step 6: Final answer
    x = 410,446.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.