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Finding the Third Proportional to 176.13 and 361.55

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Solution

The third proportional to 176.13 and 361.55 is: 742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.13 : 361.55 = 361.55 : x
  2. Step 2: Convert to fraction form
    176.13/361.55 = 361.55/x
  3. Step 3: Cross multiply
    176.13x = 361.55 × 361.55
  4. Step 4: Simplify right side
    176.13x = 130,716.14
  5. Step 5: Solve for x
    x = 130,716.14/176.13
  6. Step 6: Final answer
    x = 742.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.