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Finding the Third Proportional to 101,803 and 219,215

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Solution

The third proportional to 101,803 and 219,215 is: 472,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,803 : 219,215 = 219,215 : x
  2. Step 2: Convert to fraction form
    101,803/219,215 = 219,215/x
  3. Step 3: Cross multiply
    101,803x = 219,215 × 219,215
  4. Step 4: Simplify right side
    101,803x = 48,055,216,225
  5. Step 5: Solve for x
    x = 48,055,216,225/101,803
  6. Step 6: Final answer
    x = 472,041.26

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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.