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Finding the Third Proportional to 427.89 and 686.92

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Solution

The third proportional to 427.89 and 686.92 is: 1,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.89 : 686.92 = 686.92 : x
  2. Step 2: Convert to fraction form
    427.89/686.92 = 686.92/x
  3. Step 3: Cross multiply
    427.89x = 686.92 × 686.92
  4. Step 4: Simplify right side
    427.89x = 471,856.30
  5. Step 5: Solve for x
    x = 471,856.30/427.89
  6. Step 6: Final answer
    x = 1,102.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.