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Finding the Third Proportional to 254,116 and 338,775

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Solution

The third proportional to 254,116 and 338,775 is: 451,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,116 : 338,775 = 338,775 : x
  2. Step 2: Convert to fraction form
    254,116/338,775 = 338,775/x
  3. Step 3: Cross multiply
    254,116x = 338,775 × 338,775
  4. Step 4: Simplify right side
    254,116x = 114,768,500,625
  5. Step 5: Solve for x
    x = 114,768,500,625/254,116
  6. Step 6: Final answer
    x = 451,638.23

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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.