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Finding the Third Proportional to 168,506 and 258,375

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Solution

The third proportional to 168,506 and 258,375 is: 396,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,506 : 258,375 = 258,375 : x
  2. Step 2: Convert to fraction form
    168,506/258,375 = 258,375/x
  3. Step 3: Cross multiply
    168,506x = 258,375 × 258,375
  4. Step 4: Simplify right side
    168,506x = 66,757,640,625
  5. Step 5: Solve for x
    x = 66,757,640,625/168,506
  6. Step 6: Final answer
    x = 396,173.67

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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.