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Finding the Third Proportional to 253,206 and 395,361

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Solution

The third proportional to 253,206 and 395,361 is: 617,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,206 : 395,361 = 395,361 : x
  2. Step 2: Convert to fraction form
    253,206/395,361 = 395,361/x
  3. Step 3: Cross multiply
    253,206x = 395,361 × 395,361
  4. Step 4: Simplify right side
    253,206x = 156,310,320,321
  5. Step 5: Solve for x
    x = 156,310,320,321/253,206
  6. Step 6: Final answer
    x = 617,324.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.