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Finding the Third Proportional to 168,360 and 258,456

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Solution

The third proportional to 168,360 and 258,456 is: 396,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,360 : 258,456 = 258,456 : x
  2. Step 2: Convert to fraction form
    168,360/258,456 = 258,456/x
  3. Step 3: Cross multiply
    168,360x = 258,456 × 258,456
  4. Step 4: Simplify right side
    168,360x = 66,799,503,936
  5. Step 5: Solve for x
    x = 66,799,503,936/168,360
  6. Step 6: Final answer
    x = 396,765.88

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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.