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Finding the Third Proportional to 98,751 and 218,856

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Solution

The third proportional to 98,751 and 218,856 is: 485,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751 : 218,856 = 218,856 : x
  2. Step 2: Convert to fraction form
    98,751/218,856 = 218,856/x
  3. Step 3: Cross multiply
    98,751x = 218,856 × 218,856
  4. Step 4: Simplify right side
    98,751x = 47,897,948,736
  5. Step 5: Solve for x
    x = 47,897,948,736/98,751
  6. Step 6: Final answer
    x = 485,037.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.