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Finding the Third Proportional to 318,566 and 481,930

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Solution

The third proportional to 318,566 and 481,930 is: 729,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,566 : 481,930 = 481,930 : x
  2. Step 2: Convert to fraction form
    318,566/481,930 = 481,930/x
  3. Step 3: Cross multiply
    318,566x = 481,930 × 481,930
  4. Step 4: Simplify right side
    318,566x = 232,256,524,900
  5. Step 5: Solve for x
    x = 232,256,524,900/318,566
  6. Step 6: Final answer
    x = 729,068.78

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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.