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Finding the Third Proportional to 408,980 and 620,838

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Solution

The third proportional to 408,980 and 620,838 is: 942,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,980 : 620,838 = 620,838 : x
  2. Step 2: Convert to fraction form
    408,980/620,838 = 620,838/x
  3. Step 3: Cross multiply
    408,980x = 620,838 × 620,838
  4. Step 4: Simplify right side
    408,980x = 385,439,822,244
  5. Step 5: Solve for x
    x = 385,439,822,244/408,980
  6. Step 6: Final answer
    x = 942,441.74

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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.