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Finding the Third Proportional to 284,855 and 440,930

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Solution

The third proportional to 284,855 and 440,930 is: 682,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,855 : 440,930 = 440,930 : x
  2. Step 2: Convert to fraction form
    284,855/440,930 = 440,930/x
  3. Step 3: Cross multiply
    284,855x = 440,930 × 440,930
  4. Step 4: Simplify right side
    284,855x = 194,419,264,900
  5. Step 5: Solve for x
    x = 194,419,264,900/284,855
  6. Step 6: Final answer
    x = 682,520.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.