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Finding the Third Proportional to 429.44 and 696.44

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Solution

The third proportional to 429.44 and 696.44 is: 1,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.44 : 696.44 = 696.44 : x
  2. Step 2: Convert to fraction form
    429.44/696.44 = 696.44/x
  3. Step 3: Cross multiply
    429.44x = 696.44 × 696.44
  4. Step 4: Simplify right side
    429.44x = 485,025.19
  5. Step 5: Solve for x
    x = 485,025.19/429.44
  6. Step 6: Final answer
    x = 1,129.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.