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Finding the Third Proportional to 207.50 and 447.13

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Solution

The third proportional to 207.50 and 447.13 is: 963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 447.13 = 447.13 : x
  2. Step 2: Convert to fraction form
    207.50/447.13 = 447.13/x
  3. Step 3: Cross multiply
    207.50x = 447.13 × 447.13
  4. Step 4: Simplify right side
    207.50x = 199,920.77
  5. Step 5: Solve for x
    x = 199,920.77/207.50
  6. Step 6: Final answer
    x = 963.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.