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Finding the Third Proportional to 399,872 and 603,939

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Solution

The third proportional to 399,872 and 603,939 is: 912,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,872 : 603,939 = 603,939 : x
  2. Step 2: Convert to fraction form
    399,872/603,939 = 603,939/x
  3. Step 3: Cross multiply
    399,872x = 603,939 × 603,939
  4. Step 4: Simplify right side
    399,872x = 364,742,315,721
  5. Step 5: Solve for x
    x = 364,742,315,721/399,872
  6. Step 6: Final answer
    x = 912,147.68

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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.