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Finding the Third Proportional to 769.75 and 1,202.75

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Solution

The third proportional to 769.75 and 1,202.75 is: 1,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.75 : 1,202.75 = 1,202.75 : x
  2. Step 2: Convert to fraction form
    769.75/1,202.75 = 1,202.75/x
  3. Step 3: Cross multiply
    769.75x = 1,202.75 × 1,202.75
  4. Step 4: Simplify right side
    769.75x = 1,446,607.56
  5. Step 5: Solve for x
    x = 1,446,607.56/769.75
  6. Step 6: Final answer
    x = 1,879.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.