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Finding the Third Proportional to 100,682 and 220,738

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Solution

The third proportional to 100,682 and 220,738 is: 483,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682 : 220,738 = 220,738 : x
  2. Step 2: Convert to fraction form
    100,682/220,738 = 220,738/x
  3. Step 3: Cross multiply
    100,682x = 220,738 × 220,738
  4. Step 4: Simplify right side
    100,682x = 48,725,264,644
  5. Step 5: Solve for x
    x = 48,725,264,644/100,682
  6. Step 6: Final answer
    x = 483,952.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.