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Finding the Third Proportional to 49,450.50 and 73,251

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Solution

The third proportional to 49,450.50 and 73,251 is: 108,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,450.50 : 73,251 = 73,251 : x
  2. Step 2: Convert to fraction form
    49,450.50/73,251 = 73,251/x
  3. Step 3: Cross multiply
    49,450.50x = 73,251 × 73,251
  4. Step 4: Simplify right side
    49,450.50x = 5,365,709,001
  5. Step 5: Solve for x
    x = 5,365,709,001/49,450.50
  6. Step 6: Final answer
    x = 108,506.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.