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Finding the Third Proportional to 100,812 and 219,768

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Solution

The third proportional to 100,812 and 219,768 is: 479,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812 : 219,768 = 219,768 : x
  2. Step 2: Convert to fraction form
    100,812/219,768 = 219,768/x
  3. Step 3: Cross multiply
    100,812x = 219,768 × 219,768
  4. Step 4: Simplify right side
    100,812x = 48,297,973,824
  5. Step 5: Solve for x
    x = 48,297,973,824/100,812
  6. Step 6: Final answer
    x = 479,089.53

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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.