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Finding the Third Proportional to 204.47 and 308.53

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Solution

The third proportional to 204.47 and 308.53 is: 465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.47 : 308.53 = 308.53 : x
  2. Step 2: Convert to fraction form
    204.47/308.53 = 308.53/x
  3. Step 3: Cross multiply
    204.47x = 308.53 × 308.53
  4. Step 4: Simplify right side
    204.47x = 95,191.53
  5. Step 5: Solve for x
    x = 95,191.53/204.47
  6. Step 6: Final answer
    x = 465.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.