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Finding the Third Proportional to 408,927 and 620,745

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Solution

The third proportional to 408,927 and 620,745 is: 942,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,927 : 620,745 = 620,745 : x
  2. Step 2: Convert to fraction form
    408,927/620,745 = 620,745/x
  3. Step 3: Cross multiply
    408,927x = 620,745 × 620,745
  4. Step 4: Simplify right side
    408,927x = 385,324,355,025
  5. Step 5: Solve for x
    x = 385,324,355,025/408,927
  6. Step 6: Final answer
    x = 942,281.52

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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.