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Finding the Third Proportional to 100,858 and 220,182

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Solution

The third proportional to 100,858 and 220,182 is: 480,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858 : 220,182 = 220,182 : x
  2. Step 2: Convert to fraction form
    100,858/220,182 = 220,182/x
  3. Step 3: Cross multiply
    100,858x = 220,182 × 220,182
  4. Step 4: Simplify right side
    100,858x = 48,480,113,124
  5. Step 5: Solve for x
    x = 48,480,113,124/100,858
  6. Step 6: Final answer
    x = 480,676.92

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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.