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Finding the Third Proportional to 85,903 and 188,743

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Solution

The third proportional to 85,903 and 188,743 is: 414,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,903 : 188,743 = 188,743 : x
  2. Step 2: Convert to fraction form
    85,903/188,743 = 188,743/x
  3. Step 3: Cross multiply
    85,903x = 188,743 × 188,743
  4. Step 4: Simplify right side
    85,903x = 35,623,920,049
  5. Step 5: Solve for x
    x = 35,623,920,049/85,903
  6. Step 6: Final answer
    x = 414,699.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.