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Finding the Third Proportional to 254,172 and 338,856

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Solution

The third proportional to 254,172 and 338,856 is: 451,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,172 : 338,856 = 338,856 : x
  2. Step 2: Convert to fraction form
    254,172/338,856 = 338,856/x
  3. Step 3: Cross multiply
    254,172x = 338,856 × 338,856
  4. Step 4: Simplify right side
    254,172x = 114,823,388,736
  5. Step 5: Solve for x
    x = 114,823,388,736/254,172
  6. Step 6: Final answer
    x = 451,754.67

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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.