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Finding the Third Proportional to 308.14 and 477.34

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Solution

The third proportional to 308.14 and 477.34 is: 739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.14 : 477.34 = 477.34 : x
  2. Step 2: Convert to fraction form
    308.14/477.34 = 477.34/x
  3. Step 3: Cross multiply
    308.14x = 477.34 × 477.34
  4. Step 4: Simplify right side
    308.14x = 227,851.93
  5. Step 5: Solve for x
    x = 227,851.93/308.14
  6. Step 6: Final answer
    x = 739.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.