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Finding the Third Proportional to 168,508 and 258,378

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Solution

The third proportional to 168,508 and 258,378 is: 396,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,508 : 258,378 = 258,378 : x
  2. Step 2: Convert to fraction form
    168,508/258,378 = 258,378/x
  3. Step 3: Cross multiply
    168,508x = 258,378 × 258,378
  4. Step 4: Simplify right side
    168,508x = 66,759,190,884
  5. Step 5: Solve for x
    x = 66,759,190,884/168,508
  6. Step 6: Final answer
    x = 396,178.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.