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Finding the Third Proportional to 169,045 and 261,615

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Solution

The third proportional to 169,045 and 261,615 is: 404,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,045 : 261,615 = 261,615 : x
  2. Step 2: Convert to fraction form
    169,045/261,615 = 261,615/x
  3. Step 3: Cross multiply
    169,045x = 261,615 × 261,615
  4. Step 4: Simplify right side
    169,045x = 68,442,408,225
  5. Step 5: Solve for x
    x = 68,442,408,225/169,045
  6. Step 6: Final answer
    x = 404,876.86

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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.