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Finding the Third Proportional to 115,785 and 173,191

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Solution

The third proportional to 115,785 and 173,191 is: 259,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,785 : 173,191 = 173,191 : x
  2. Step 2: Convert to fraction form
    115,785/173,191 = 173,191/x
  3. Step 3: Cross multiply
    115,785x = 173,191 × 173,191
  4. Step 4: Simplify right side
    115,785x = 29,995,122,481
  5. Step 5: Solve for x
    x = 29,995,122,481/115,785
  6. Step 6: Final answer
    x = 259,058.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.