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Finding the Third Proportional to 771.75 and 1,187.38

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Solution

The third proportional to 771.75 and 1,187.38 is: 1,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.75 : 1,187.38 = 1,187.38 : x
  2. Step 2: Convert to fraction form
    771.75/1,187.38 = 1,187.38/x
  3. Step 3: Cross multiply
    771.75x = 1,187.38 × 1,187.38
  4. Step 4: Simplify right side
    771.75x = 1,409,859.39
  5. Step 5: Solve for x
    x = 1,409,859.39/771.75
  6. Step 6: Final answer
    x = 1,826.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.