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Finding the Third Proportional to 313,868 and 670,824

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Solution

The third proportional to 313,868 and 670,824 is: 1,433,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,868 : 670,824 = 670,824 : x
  2. Step 2: Convert to fraction form
    313,868/670,824 = 670,824/x
  3. Step 3: Cross multiply
    313,868x = 670,824 × 670,824
  4. Step 4: Simplify right side
    313,868x = 450,004,838,976
  5. Step 5: Solve for x
    x = 450,004,838,976/313,868
  6. Step 6: Final answer
    x = 1,433,739.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.