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Finding the Third Proportional to 98,221 and 210,779

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Solution

The third proportional to 98,221 and 210,779 is: 452,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,221 : 210,779 = 210,779 : x
  2. Step 2: Convert to fraction form
    98,221/210,779 = 210,779/x
  3. Step 3: Cross multiply
    98,221x = 210,779 × 210,779
  4. Step 4: Simplify right side
    98,221x = 44,427,786,841
  5. Step 5: Solve for x
    x = 44,427,786,841/98,221
  6. Step 6: Final answer
    x = 452,324.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.