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Finding the Third Proportional to 310.94 and 447.06

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Solution

The third proportional to 310.94 and 447.06 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 447.06 = 447.06 : x
  2. Step 2: Convert to fraction form
    310.94/447.06 = 447.06/x
  3. Step 3: Cross multiply
    310.94x = 447.06 × 447.06
  4. Step 4: Simplify right side
    310.94x = 199,864.88
  5. Step 5: Solve for x
    x = 199,864.88/310.94
  6. Step 6: Final answer
    x = 642.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.