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Finding the Third Proportional to 101,802 and 219,213

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Solution

The third proportional to 101,802 and 219,213 is: 472,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,802 : 219,213 = 219,213 : x
  2. Step 2: Convert to fraction form
    101,802/219,213 = 219,213/x
  3. Step 3: Cross multiply
    101,802x = 219,213 × 219,213
  4. Step 4: Simplify right side
    101,802x = 48,054,339,369
  5. Step 5: Solve for x
    x = 48,054,339,369/101,802
  6. Step 6: Final answer
    x = 472,037.28

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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.