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Finding the Third Proportional to 312.75 and 426.19

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Solution

The third proportional to 312.75 and 426.19 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 426.19 = 426.19 : x
  2. Step 2: Convert to fraction form
    312.75/426.19 = 426.19/x
  3. Step 3: Cross multiply
    312.75x = 426.19 × 426.19
  4. Step 4: Simplify right side
    312.75x = 181,635.79
  5. Step 5: Solve for x
    x = 181,635.79/312.75
  6. Step 6: Final answer
    x = 580.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.