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Finding the Third Proportional to 133,826,048 and 204,585,546

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Solution

The third proportional to 133,826,048 and 204,585,546 is: 312,758,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,826,048 : 204,585,546 = 204,585,546 : x
  2. Step 2: Convert to fraction form
    133,826,048/204,585,546 = 204,585,546/x
  3. Step 3: Cross multiply
    133,826,048x = 204,585,546 × 204,585,546
  4. Step 4: Simplify right side
    133,826,048x = 41,855,245,632,118,112
  5. Step 5: Solve for x
    x = 41,855,245,632,118,112/133,826,048
  6. Step 6: Final answer
    x = 312,758,586.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.