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Finding the Third Proportional to 313,514 and 448,149

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Solution

The third proportional to 313,514 and 448,149 is: 640,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,514 : 448,149 = 448,149 : x
  2. Step 2: Convert to fraction form
    313,514/448,149 = 448,149/x
  3. Step 3: Cross multiply
    313,514x = 448,149 × 448,149
  4. Step 4: Simplify right side
    313,514x = 200,837,526,201
  5. Step 5: Solve for x
    x = 200,837,526,201/313,514
  6. Step 6: Final answer
    x = 640,601.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.