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Finding the Third Proportional to 427.36 and 576.84

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Solution

The third proportional to 427.36 and 576.84 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.36 : 576.84 = 576.84 : x
  2. Step 2: Convert to fraction form
    427.36/576.84 = 576.84/x
  3. Step 3: Cross multiply
    427.36x = 576.84 × 576.84
  4. Step 4: Simplify right side
    427.36x = 332,748.71
  5. Step 5: Solve for x
    x = 332,748.71/427.36
  6. Step 6: Final answer
    x = 778.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.