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Finding the Third Proportional to 426.75 and 708.38

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Solution

The third proportional to 426.75 and 708.38 is: 1,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 708.38 = 708.38 : x
  2. Step 2: Convert to fraction form
    426.75/708.38 = 708.38/x
  3. Step 3: Cross multiply
    426.75x = 708.38 × 708.38
  4. Step 4: Simplify right side
    426.75x = 501,795.14
  5. Step 5: Solve for x
    x = 501,795.14/426.75
  6. Step 6: Final answer
    x = 1,175.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.