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Finding the Third Proportional to 771.38 and 1,173.94

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Solution

The third proportional to 771.38 and 1,173.94 is: 1,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,173.94 = 1,173.94 : x
  2. Step 2: Convert to fraction form
    771.38/1,173.94 = 1,173.94/x
  3. Step 3: Cross multiply
    771.38x = 1,173.94 × 1,173.94
  4. Step 4: Simplify right side
    771.38x = 1,378,129.25
  5. Step 5: Solve for x
    x = 1,378,129.25/771.38
  6. Step 6: Final answer
    x = 1,786.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.