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Finding the Third Proportional to 696.94 and 1,243.69

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Solution

The third proportional to 696.94 and 1,243.69 is: 2,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 1,243.69 = 1,243.69 : x
  2. Step 2: Convert to fraction form
    696.94/1,243.69 = 1,243.69/x
  3. Step 3: Cross multiply
    696.94x = 1,243.69 × 1,243.69
  4. Step 4: Simplify right side
    696.94x = 1,546,758.60
  5. Step 5: Solve for x
    x = 1,546,758.60/696.94
  6. Step 6: Final answer
    x = 2,219.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.