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Finding the Third Proportional to 100,424 and 218,350

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Solution

The third proportional to 100,424 and 218,350 is: 474,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424 : 218,350 = 218,350 : x
  2. Step 2: Convert to fraction form
    100,424/218,350 = 218,350/x
  3. Step 3: Cross multiply
    100,424x = 218,350 × 218,350
  4. Step 4: Simplify right side
    100,424x = 47,676,722,500
  5. Step 5: Solve for x
    x = 47,676,722,500/100,424
  6. Step 6: Final answer
    x = 474,754.27

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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.