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Finding the Third Proportional to 101,806 and 219,221

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Solution

The third proportional to 101,806 and 219,221 is: 472,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,806 : 219,221 = 219,221 : x
  2. Step 2: Convert to fraction form
    101,806/219,221 = 219,221/x
  3. Step 3: Cross multiply
    101,806x = 219,221 × 219,221
  4. Step 4: Simplify right side
    101,806x = 48,057,846,841
  5. Step 5: Solve for x
    x = 48,057,846,841/101,806
  6. Step 6: Final answer
    x = 472,053.19

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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.