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Finding the Third Proportional to 100,228 and 213,800

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Solution

The third proportional to 100,228 and 213,800 is: 456,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228 : 213,800 = 213,800 : x
  2. Step 2: Convert to fraction form
    100,228/213,800 = 213,800/x
  3. Step 3: Cross multiply
    100,228x = 213,800 × 213,800
  4. Step 4: Simplify right side
    100,228x = 45,710,440,000
  5. Step 5: Solve for x
    x = 45,710,440,000/100,228
  6. Step 6: Final answer
    x = 456,064.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.