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Finding the Third Proportional to 188,858 and 405,669

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Solution

The third proportional to 188,858 and 405,669 is: 871,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,858 : 405,669 = 405,669 : x
  2. Step 2: Convert to fraction form
    188,858/405,669 = 405,669/x
  3. Step 3: Cross multiply
    188,858x = 405,669 × 405,669
  4. Step 4: Simplify right side
    188,858x = 164,567,337,561
  5. Step 5: Solve for x
    x = 164,567,337,561/188,858
  6. Step 6: Final answer
    x = 871,381.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.