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Finding the Third Proportional to 100,386 and 218,266

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Solution

The third proportional to 100,386 and 218,266 is: 474,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,386 : 218,266 = 218,266 : x
  2. Step 2: Convert to fraction form
    100,386/218,266 = 218,266/x
  3. Step 3: Cross multiply
    100,386x = 218,266 × 218,266
  4. Step 4: Simplify right side
    100,386x = 47,640,046,756
  5. Step 5: Solve for x
    x = 47,640,046,756/100,386
  6. Step 6: Final answer
    x = 474,568.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.