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Finding the Third Proportional to 419,137 and 663,975

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Solution

The third proportional to 419,137 and 663,975 is: 1,051,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,137 : 663,975 = 663,975 : x
  2. Step 2: Convert to fraction form
    419,137/663,975 = 663,975/x
  3. Step 3: Cross multiply
    419,137x = 663,975 × 663,975
  4. Step 4: Simplify right side
    419,137x = 440,862,800,625
  5. Step 5: Solve for x
    x = 440,862,800,625/419,137
  6. Step 6: Final answer
    x = 1,051,834.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.