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Finding the Third Proportional to 60.40 and 134.30

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Solution

The third proportional to 60.40 and 134.30 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.40 : 134.30 = 134.30 : x
  2. Step 2: Convert to fraction form
    60.40/134.30 = 134.30/x
  3. Step 3: Cross multiply
    60.40x = 134.30 × 134.30
  4. Step 4: Simplify right side
    60.40x = 18,035.65
  5. Step 5: Solve for x
    x = 18,035.65/60.40
  6. Step 6: Final answer
    x = 298.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.