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Finding the Third Proportional to 330,872 and 494,986

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Solution

The third proportional to 330,872 and 494,986 is: 740,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,872 : 494,986 = 494,986 : x
  2. Step 2: Convert to fraction form
    330,872/494,986 = 494,986/x
  3. Step 3: Cross multiply
    330,872x = 494,986 × 494,986
  4. Step 4: Simplify right side
    330,872x = 245,011,140,196
  5. Step 5: Solve for x
    x = 245,011,140,196/330,872
  6. Step 6: Final answer
    x = 740,501.28

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