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Finding the Third Proportional to 771.75 and 1,141.17

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Solution

The third proportional to 771.75 and 1,141.17 is: 1,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.75 : 1,141.17 = 1,141.17 : x
  2. Step 2: Convert to fraction form
    771.75/1,141.17 = 1,141.17/x
  3. Step 3: Cross multiply
    771.75x = 1,141.17 × 1,141.17
  4. Step 4: Simplify right side
    771.75x = 1,302,273.25
  5. Step 5: Solve for x
    x = 1,302,273.25/771.75
  6. Step 6: Final answer
    x = 1,687.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.