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Finding the Third Proportional to 113.53 and 178.40

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Solution

The third proportional to 113.53 and 178.40 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.53 : 178.40 = 178.40 : x
  2. Step 2: Convert to fraction form
    113.53/178.40 = 178.40/x
  3. Step 3: Cross multiply
    113.53x = 178.40 × 178.40
  4. Step 4: Simplify right side
    113.53x = 31,826.99
  5. Step 5: Solve for x
    x = 31,826.99/113.53
  6. Step 6: Final answer
    x = 280.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.