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Finding the Third Proportional to 254,136 and 338,802

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Solution

The third proportional to 254,136 and 338,802 is: 451,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,136 : 338,802 = 338,802 : x
  2. Step 2: Convert to fraction form
    254,136/338,802 = 338,802/x
  3. Step 3: Cross multiply
    254,136x = 338,802 × 338,802
  4. Step 4: Simplify right side
    254,136x = 114,786,795,204
  5. Step 5: Solve for x
    x = 114,786,795,204/254,136
  6. Step 6: Final answer
    x = 451,674.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.