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Finding the Third Proportional to 408,945 and 620,775

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Solution

The third proportional to 408,945 and 620,775 is: 942,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,945 : 620,775 = 620,775 : x
  2. Step 2: Convert to fraction form
    408,945/620,775 = 620,775/x
  3. Step 3: Cross multiply
    408,945x = 620,775 × 620,775
  4. Step 4: Simplify right side
    408,945x = 385,361,600,625
  5. Step 5: Solve for x
    x = 385,361,600,625/408,945
  6. Step 6: Final answer
    x = 942,331.12

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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.