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Finding the Third Proportional to 185,438 and 405,868

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Solution

The third proportional to 185,438 and 405,868 is: 888,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,438 : 405,868 = 405,868 : x
  2. Step 2: Convert to fraction form
    185,438/405,868 = 405,868/x
  3. Step 3: Cross multiply
    185,438x = 405,868 × 405,868
  4. Step 4: Simplify right side
    185,438x = 164,728,833,424
  5. Step 5: Solve for x
    x = 164,728,833,424/185,438
  6. Step 6: Final answer
    x = 888,322.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.