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Finding the Third Proportional to 100,512 and 218,520

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Solution

The third proportional to 100,512 and 218,520 is: 475,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512 : 218,520 = 218,520 : x
  2. Step 2: Convert to fraction form
    100,512/218,520 = 218,520/x
  3. Step 3: Cross multiply
    100,512x = 218,520 × 218,520
  4. Step 4: Simplify right side
    100,512x = 47,750,990,400
  5. Step 5: Solve for x
    x = 47,750,990,400/100,512
  6. Step 6: Final answer
    x = 475,077.51

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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.