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Finding the Third Proportional to 100,785 and 219,990

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Solution

The third proportional to 100,785 and 219,990 is: 480,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,785 : 219,990 = 219,990 : x
  2. Step 2: Convert to fraction form
    100,785/219,990 = 219,990/x
  3. Step 3: Cross multiply
    100,785x = 219,990 × 219,990
  4. Step 4: Simplify right side
    100,785x = 48,395,600,100
  5. Step 5: Solve for x
    x = 48,395,600,100/100,785
  6. Step 6: Final answer
    x = 480,186.54

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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.