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Finding the Third Proportional to 166,378 and 258,591

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Solution

The third proportional to 166,378 and 258,591 is: 401,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,378 : 258,591 = 258,591 : x
  2. Step 2: Convert to fraction form
    166,378/258,591 = 258,591/x
  3. Step 3: Cross multiply
    166,378x = 258,591 × 258,591
  4. Step 4: Simplify right side
    166,378x = 66,869,305,281
  5. Step 5: Solve for x
    x = 66,869,305,281/166,378
  6. Step 6: Final answer
    x = 401,911.94

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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.