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Finding the Third Proportional to 254,129 and 338,790

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Solution

The third proportional to 254,129 and 338,790 is: 451,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,129 : 338,790 = 338,790 : x
  2. Step 2: Convert to fraction form
    254,129/338,790 = 338,790/x
  3. Step 3: Cross multiply
    254,129x = 338,790 × 338,790
  4. Step 4: Simplify right side
    254,129x = 114,778,664,100
  5. Step 5: Solve for x
    x = 114,778,664,100/254,129
  6. Step 6: Final answer
    x = 451,655.12

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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.