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Finding the Third Proportional to 100,769 and 219,682

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Solution

The third proportional to 100,769 and 219,682 is: 478,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,769 : 219,682 = 219,682 : x
  2. Step 2: Convert to fraction form
    100,769/219,682 = 219,682/x
  3. Step 3: Cross multiply
    100,769x = 219,682 × 219,682
  4. Step 4: Simplify right side
    100,769x = 48,260,181,124
  5. Step 5: Solve for x
    x = 48,260,181,124/100,769
  6. Step 6: Final answer
    x = 478,918.92

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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.