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Finding the Third Proportional to 178.13 and 361.50

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Solution

The third proportional to 178.13 and 361.50 is: 733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 361.50 = 361.50 : x
  2. Step 2: Convert to fraction form
    178.13/361.50 = 361.50/x
  3. Step 3: Cross multiply
    178.13x = 361.50 × 361.50
  4. Step 4: Simplify right side
    178.13x = 130,682.25
  5. Step 5: Solve for x
    x = 130,682.25/178.13
  6. Step 6: Final answer
    x = 733.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.