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Finding the Third Proportional to 330,874 and 494,989

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Solution

The third proportional to 330,874 and 494,989 is: 740,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,874 : 494,989 = 494,989 : x
  2. Step 2: Convert to fraction form
    330,874/494,989 = 494,989/x
  3. Step 3: Cross multiply
    330,874x = 494,989 × 494,989
  4. Step 4: Simplify right side
    330,874x = 245,014,110,121
  5. Step 5: Solve for x
    x = 245,014,110,121/330,874
  6. Step 6: Final answer
    x = 740,505.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.