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Finding the Third Proportional to 100,704 and 219,383

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Solution

The third proportional to 100,704 and 219,383 is: 477,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704 : 219,383 = 219,383 : x
  2. Step 2: Convert to fraction form
    100,704/219,383 = 219,383/x
  3. Step 3: Cross multiply
    100,704x = 219,383 × 219,383
  4. Step 4: Simplify right side
    100,704x = 48,128,900,689
  5. Step 5: Solve for x
    x = 48,128,900,689/100,704
  6. Step 6: Final answer
    x = 477,924.42

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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.