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Finding the Third Proportional to 100,344 and 211,944

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Solution

The third proportional to 100,344 and 211,944 is: 447,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344 : 211,944 = 211,944 : x
  2. Step 2: Convert to fraction form
    100,344/211,944 = 211,944/x
  3. Step 3: Cross multiply
    100,344x = 211,944 × 211,944
  4. Step 4: Simplify right side
    100,344x = 44,920,259,136
  5. Step 5: Solve for x
    x = 44,920,259,136/100,344
  6. Step 6: Final answer
    x = 447,662.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.