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Finding the Third Proportional to 429.28 and 843.94

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Solution

The third proportional to 429.28 and 843.94 is: 1,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 843.94 = 843.94 : x
  2. Step 2: Convert to fraction form
    429.28/843.94 = 843.94/x
  3. Step 3: Cross multiply
    429.28x = 843.94 × 843.94
  4. Step 4: Simplify right side
    429.28x = 712,230.50
  5. Step 5: Solve for x
    x = 712,230.50/429.28
  6. Step 6: Final answer
    x = 1,659.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.