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Finding the Third Proportional to 288,452 and 395,736

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Solution

The third proportional to 288,452 and 395,736 is: 542,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,452 : 395,736 = 395,736 : x
  2. Step 2: Convert to fraction form
    288,452/395,736 = 395,736/x
  3. Step 3: Cross multiply
    288,452x = 395,736 × 395,736
  4. Step 4: Simplify right side
    288,452x = 156,606,981,696
  5. Step 5: Solve for x
    x = 156,606,981,696/288,452
  6. Step 6: Final answer
    x = 542,922.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.