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Finding the Third Proportional to 98,556 and 204,110

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Solution

The third proportional to 98,556 and 204,110 is: 422,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,556 : 204,110 = 204,110 : x
  2. Step 2: Convert to fraction form
    98,556/204,110 = 204,110/x
  3. Step 3: Cross multiply
    98,556x = 204,110 × 204,110
  4. Step 4: Simplify right side
    98,556x = 41,660,892,100
  5. Step 5: Solve for x
    x = 41,660,892,100/98,556
  6. Step 6: Final answer
    x = 422,712.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.