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Finding the Third Proportional to 313,976 and 448,412

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Solution

The third proportional to 313,976 and 448,412 is: 640,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,976 : 448,412 = 448,412 : x
  2. Step 2: Convert to fraction form
    313,976/448,412 = 448,412/x
  3. Step 3: Cross multiply
    313,976x = 448,412 × 448,412
  4. Step 4: Simplify right side
    313,976x = 201,073,321,744
  5. Step 5: Solve for x
    x = 201,073,321,744/313,976
  6. Step 6: Final answer
    x = 640,409.85

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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.