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Finding the Third Proportional to 165,903 and 255,348

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Solution

The third proportional to 165,903 and 255,348 is: 393,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,903 : 255,348 = 255,348 : x
  2. Step 2: Convert to fraction form
    165,903/255,348 = 255,348/x
  3. Step 3: Cross multiply
    165,903x = 255,348 × 255,348
  4. Step 4: Simplify right side
    165,903x = 65,202,601,104
  5. Step 5: Solve for x
    x = 65,202,601,104/165,903
  6. Step 6: Final answer
    x = 393,016.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.