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Finding the Third Proportional to 100,743 and 211,830

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Solution

The third proportional to 100,743 and 211,830 is: 445,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,743 : 211,830 = 211,830 : x
  2. Step 2: Convert to fraction form
    100,743/211,830 = 211,830/x
  3. Step 3: Cross multiply
    100,743x = 211,830 × 211,830
  4. Step 4: Simplify right side
    100,743x = 44,871,948,900
  5. Step 5: Solve for x
    x = 44,871,948,900/100,743
  6. Step 6: Final answer
    x = 445,410.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.