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Finding the Third Proportional to 107,616 and 219,984

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Solution

The third proportional to 107,616 and 219,984 is: 449,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,616 : 219,984 = 219,984 : x
  2. Step 2: Convert to fraction form
    107,616/219,984 = 219,984/x
  3. Step 3: Cross multiply
    107,616x = 219,984 × 219,984
  4. Step 4: Simplify right side
    107,616x = 48,392,960,256
  5. Step 5: Solve for x
    x = 48,392,960,256/107,616
  6. Step 6: Final answer
    x = 449,681.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.