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Finding the Third Proportional to 100,039 and 211,337

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Solution

The third proportional to 100,039 and 211,337 is: 446,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039 : 211,337 = 211,337 : x
  2. Step 2: Convert to fraction form
    100,039/211,337 = 211,337/x
  3. Step 3: Cross multiply
    100,039x = 211,337 × 211,337
  4. Step 4: Simplify right side
    100,039x = 44,663,327,569
  5. Step 5: Solve for x
    x = 44,663,327,569/100,039
  6. Step 6: Final answer
    x = 446,459.16

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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.