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Finding the Third Proportional to 207.21 and 308.46

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Solution

The third proportional to 207.21 and 308.46 is: 459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.21 : 308.46 = 308.46 : x
  2. Step 2: Convert to fraction form
    207.21/308.46 = 308.46/x
  3. Step 3: Cross multiply
    207.21x = 308.46 × 308.46
  4. Step 4: Simplify right side
    207.21x = 95,148.15
  5. Step 5: Solve for x
    x = 95,148.15/207.21
  6. Step 6: Final answer
    x = 459.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.