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Finding the Third Proportional to 273,800 and 401,242

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Solution

The third proportional to 273,800 and 401,242 is: 588,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,800 : 401,242 = 401,242 : x
  2. Step 2: Convert to fraction form
    273,800/401,242 = 401,242/x
  3. Step 3: Cross multiply
    273,800x = 401,242 × 401,242
  4. Step 4: Simplify right side
    273,800x = 160,995,142,564
  5. Step 5: Solve for x
    x = 160,995,142,564/273,800
  6. Step 6: Final answer
    x = 588,002.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.