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Finding the Third Proportional to 254,135 and 338,800

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Solution

The third proportional to 254,135 and 338,800 is: 451,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,135 : 338,800 = 338,800 : x
  2. Step 2: Convert to fraction form
    254,135/338,800 = 338,800/x
  3. Step 3: Cross multiply
    254,135x = 338,800 × 338,800
  4. Step 4: Simplify right side
    254,135x = 114,785,440,000
  5. Step 5: Solve for x
    x = 114,785,440,000/254,135
  6. Step 6: Final answer
    x = 451,671.12

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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.