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Finding the Third Proportional to 427.92 and 680.55

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Solution

The third proportional to 427.92 and 680.55 is: 1,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.92 : 680.55 = 680.55 : x
  2. Step 2: Convert to fraction form
    427.92/680.55 = 680.55/x
  3. Step 3: Cross multiply
    427.92x = 680.55 × 680.55
  4. Step 4: Simplify right side
    427.92x = 463,154.68
  5. Step 5: Solve for x
    x = 463,154.68/427.92
  6. Step 6: Final answer
    x = 1,082.33

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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.