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Finding the Third Proportional to 399,876 and 600,972

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Solution

The third proportional to 399,876 and 600,972 is: 903,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,876 : 600,972 = 600,972 : x
  2. Step 2: Convert to fraction form
    399,876/600,972 = 600,972/x
  3. Step 3: Cross multiply
    399,876x = 600,972 × 600,972
  4. Step 4: Simplify right side
    399,876x = 361,167,344,784
  5. Step 5: Solve for x
    x = 361,167,344,784/399,876
  6. Step 6: Final answer
    x = 903,198.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.