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Finding the Third Proportional to 207.17 and 384.43

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Solution

The third proportional to 207.17 and 384.43 is: 713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.17 : 384.43 = 384.43 : x
  2. Step 2: Convert to fraction form
    207.17/384.43 = 384.43/x
  3. Step 3: Cross multiply
    207.17x = 384.43 × 384.43
  4. Step 4: Simplify right side
    207.17x = 147,789.19
  5. Step 5: Solve for x
    x = 147,789.19/207.17
  6. Step 6: Final answer
    x = 713.38

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.