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Finding the Third Proportional to 190,394 and 405,238

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Solution

The third proportional to 190,394 and 405,238 is: 862,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,394 : 405,238 = 405,238 : x
  2. Step 2: Convert to fraction form
    190,394/405,238 = 405,238/x
  3. Step 3: Cross multiply
    190,394x = 405,238 × 405,238
  4. Step 4: Simplify right side
    190,394x = 164,217,836,644
  5. Step 5: Solve for x
    x = 164,217,836,644/190,394
  6. Step 6: Final answer
    x = 862,515.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.