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Finding the Third Proportional to 361.13 and 511.17

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Solution

The third proportional to 361.13 and 511.17 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 511.17 = 511.17 : x
  2. Step 2: Convert to fraction form
    361.13/511.17 = 511.17/x
  3. Step 3: Cross multiply
    361.13x = 511.17 × 511.17
  4. Step 4: Simplify right side
    361.13x = 261,296.69
  5. Step 5: Solve for x
    x = 261,296.69/361.13
  6. Step 6: Final answer
    x = 723.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.