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Finding the Third Proportional to 282,400 and 394,992

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Solution

The third proportional to 282,400 and 394,992 is: 552,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,400 : 394,992 = 394,992 : x
  2. Step 2: Convert to fraction form
    282,400/394,992 = 394,992/x
  3. Step 3: Cross multiply
    282,400x = 394,992 × 394,992
  4. Step 4: Simplify right side
    282,400x = 156,018,680,064
  5. Step 5: Solve for x
    x = 156,018,680,064/282,400
  6. Step 6: Final answer
    x = 552,474.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.