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Finding the Third Proportional to 188,230 and 405,782

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Solution

The third proportional to 188,230 and 405,782 is: 874,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230 : 405,782 = 405,782 : x
  2. Step 2: Convert to fraction form
    188,230/405,782 = 405,782/x
  3. Step 3: Cross multiply
    188,230x = 405,782 × 405,782
  4. Step 4: Simplify right side
    188,230x = 164,659,031,524
  5. Step 5: Solve for x
    x = 164,659,031,524/188,230
  6. Step 6: Final answer
    x = 874,775.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.