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Finding the Third Proportional to 425,578 and 629,952

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Solution

The third proportional to 425,578 and 629,952 is: 932,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,578 : 629,952 = 629,952 : x
  2. Step 2: Convert to fraction form
    425,578/629,952 = 629,952/x
  3. Step 3: Cross multiply
    425,578x = 629,952 × 629,952
  4. Step 4: Simplify right side
    425,578x = 396,839,522,304
  5. Step 5: Solve for x
    x = 396,839,522,304/425,578
  6. Step 6: Final answer
    x = 932,471.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.