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Finding the Third Proportional to 101,295 and 218,286

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Solution

The third proportional to 101,295 and 218,286 is: 470,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,295 : 218,286 = 218,286 : x
  2. Step 2: Convert to fraction form
    101,295/218,286 = 218,286/x
  3. Step 3: Cross multiply
    101,295x = 218,286 × 218,286
  4. Step 4: Simplify right side
    101,295x = 47,648,777,796
  5. Step 5: Solve for x
    x = 47,648,777,796/101,295
  6. Step 6: Final answer
    x = 470,396.15

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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.