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Finding the Third Proportional to 419,591 and 632,878

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Solution

The third proportional to 419,591 and 632,878 is: 954,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,591 : 632,878 = 632,878 : x
  2. Step 2: Convert to fraction form
    419,591/632,878 = 632,878/x
  3. Step 3: Cross multiply
    419,591x = 632,878 × 632,878
  4. Step 4: Simplify right side
    419,591x = 400,534,562,884
  5. Step 5: Solve for x
    x = 400,534,562,884/419,591
  6. Step 6: Final answer
    x = 954,583.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.