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Finding the Third Proportional to 408,932 and 620,756

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Solution

The third proportional to 408,932 and 620,756 is: 942,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,932 : 620,756 = 620,756 : x
  2. Step 2: Convert to fraction form
    408,932/620,756 = 620,756/x
  3. Step 3: Cross multiply
    408,932x = 620,756 × 620,756
  4. Step 4: Simplify right side
    408,932x = 385,338,011,536
  5. Step 5: Solve for x
    x = 385,338,011,536/408,932
  6. Step 6: Final answer
    x = 942,303.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.