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Finding the Third Proportional to 399,880 and 603,951

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Solution

The third proportional to 399,880 and 603,951 is: 912,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,880 : 603,951 = 603,951 : x
  2. Step 2: Convert to fraction form
    399,880/603,951 = 603,951/x
  3. Step 3: Cross multiply
    399,880x = 603,951 × 603,951
  4. Step 4: Simplify right side
    399,880x = 364,756,810,401
  5. Step 5: Solve for x
    x = 364,756,810,401/399,880
  6. Step 6: Final answer
    x = 912,165.68

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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.