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Finding the Third Proportional to 318,366 and 481,647

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Solution

The third proportional to 318,366 and 481,647 is: 728,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,366 : 481,647 = 481,647 : x
  2. Step 2: Convert to fraction form
    318,366/481,647 = 481,647/x
  3. Step 3: Cross multiply
    318,366x = 481,647 × 481,647
  4. Step 4: Simplify right side
    318,366x = 231,983,832,609
  5. Step 5: Solve for x
    x = 231,983,832,609/318,366
  6. Step 6: Final answer
    x = 728,670.25

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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.