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Finding the Third Proportional to 113.45 and 180.30

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Solution

The third proportional to 113.45 and 180.30 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.45 : 180.30 = 180.30 : x
  2. Step 2: Convert to fraction form
    113.45/180.30 = 180.30/x
  3. Step 3: Cross multiply
    113.45x = 180.30 × 180.30
  4. Step 4: Simplify right side
    113.45x = 32,507.67
  5. Step 5: Solve for x
    x = 32,507.67/113.45
  6. Step 6: Final answer
    x = 286.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.