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Finding the Third Proportional to 101,805 and 219,219

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Solution

The third proportional to 101,805 and 219,219 is: 472,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805 : 219,219 = 219,219 : x
  2. Step 2: Convert to fraction form
    101,805/219,219 = 219,219/x
  3. Step 3: Cross multiply
    101,805x = 219,219 × 219,219
  4. Step 4: Simplify right side
    101,805x = 48,056,969,961
  5. Step 5: Solve for x
    x = 48,056,969,961/101,805
  6. Step 6: Final answer
    x = 472,049.21

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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.