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Finding the Third Proportional to 100,287 and 218,565

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Solution

The third proportional to 100,287 and 218,565 is: 476,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,287 : 218,565 = 218,565 : x
  2. Step 2: Convert to fraction form
    100,287/218,565 = 218,565/x
  3. Step 3: Cross multiply
    100,287x = 218,565 × 218,565
  4. Step 4: Simplify right side
    100,287x = 47,770,659,225
  5. Step 5: Solve for x
    x = 47,770,659,225/100,287
  6. Step 6: Final answer
    x = 476,339.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.