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Finding the Third Proportional to 187,992 and 391,476

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Solution

The third proportional to 187,992 and 391,476 is: 815,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,992 : 391,476 = 391,476 : x
  2. Step 2: Convert to fraction form
    187,992/391,476 = 391,476/x
  3. Step 3: Cross multiply
    187,992x = 391,476 × 391,476
  4. Step 4: Simplify right side
    187,992x = 153,253,458,576
  5. Step 5: Solve for x
    x = 153,253,458,576/187,992
  6. Step 6: Final answer
    x = 815,212.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.