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Finding the Third Proportional to 696.75 and 1,358.25

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Solution

The third proportional to 696.75 and 1,358.25 is: 2,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 1,358.25 = 1,358.25 : x
  2. Step 2: Convert to fraction form
    696.75/1,358.25 = 1,358.25/x
  3. Step 3: Cross multiply
    696.75x = 1,358.25 × 1,358.25
  4. Step 4: Simplify right side
    696.75x = 1,844,843.06
  5. Step 5: Solve for x
    x = 1,844,843.06/696.75
  6. Step 6: Final answer
    x = 2,647.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.