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Finding the Third Proportional to 274,932 and 620,802

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Solution

The third proportional to 274,932 and 620,802 is: 1,401,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,932 : 620,802 = 620,802 : x
  2. Step 2: Convert to fraction form
    274,932/620,802 = 620,802/x
  3. Step 3: Cross multiply
    274,932x = 620,802 × 620,802
  4. Step 4: Simplify right side
    274,932x = 385,395,123,204
  5. Step 5: Solve for x
    x = 385,395,123,204/274,932
  6. Step 6: Final answer
    x = 1,401,783.43

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.