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Finding the Third Proportional to 166,806 and 258,672

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Solution

The third proportional to 166,806 and 258,672 is: 401,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,806 : 258,672 = 258,672 : x
  2. Step 2: Convert to fraction form
    166,806/258,672 = 258,672/x
  3. Step 3: Cross multiply
    166,806x = 258,672 × 258,672
  4. Step 4: Simplify right side
    166,806x = 66,911,203,584
  5. Step 5: Solve for x
    x = 66,911,203,584/166,806
  6. Step 6: Final answer
    x = 401,131.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.