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Finding the Third Proportional to 122,782 and 173,305

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Solution

The third proportional to 122,782 and 173,305 is: 244,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,782 : 173,305 = 173,305 : x
  2. Step 2: Convert to fraction form
    122,782/173,305 = 173,305/x
  3. Step 3: Cross multiply
    122,782x = 173,305 × 173,305
  4. Step 4: Simplify right side
    122,782x = 30,034,623,025
  5. Step 5: Solve for x
    x = 30,034,623,025/122,782
  6. Step 6: Final answer
    x = 244,617.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.