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Finding the Third Proportional to 408,939 and 620,766

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Solution

The third proportional to 408,939 and 620,766 is: 942,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,939 : 620,766 = 620,766 : x
  2. Step 2: Convert to fraction form
    408,939/620,766 = 620,766/x
  3. Step 3: Cross multiply
    408,939x = 620,766 × 620,766
  4. Step 4: Simplify right side
    408,939x = 385,350,426,756
  5. Step 5: Solve for x
    x = 385,350,426,756/408,939
  6. Step 6: Final answer
    x = 942,317.62

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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.