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Finding the Third Proportional to 771.19 and 1,691.44

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Solution

The third proportional to 771.19 and 1,691.44 is: 3,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.19 : 1,691.44 = 1,691.44 : x
  2. Step 2: Convert to fraction form
    771.19/1,691.44 = 1,691.44/x
  3. Step 3: Cross multiply
    771.19x = 1,691.44 × 1,691.44
  4. Step 4: Simplify right side
    771.19x = 2,860,960.82
  5. Step 5: Solve for x
    x = 2,860,960.82/771.19
  6. Step 6: Final answer
    x = 3,709.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.