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Finding the Third Proportional to 447.94 and 670.03

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Solution

The third proportional to 447.94 and 670.03 is: 1,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.94 : 670.03 = 670.03 : x
  2. Step 2: Convert to fraction form
    447.94/670.03 = 670.03/x
  3. Step 3: Cross multiply
    447.94x = 670.03 × 670.03
  4. Step 4: Simplify right side
    447.94x = 448,941.88
  5. Step 5: Solve for x
    x = 448,941.88/447.94
  6. Step 6: Final answer
    x = 1,002.24

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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.