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Finding the Third Proportional to 769.78 and 1,204.17

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Solution

The third proportional to 769.78 and 1,204.17 is: 1,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.78 : 1,204.17 = 1,204.17 : x
  2. Step 2: Convert to fraction form
    769.78/1,204.17 = 1,204.17/x
  3. Step 3: Cross multiply
    769.78x = 1,204.17 × 1,204.17
  4. Step 4: Simplify right side
    769.78x = 1,450,029.90
  5. Step 5: Solve for x
    x = 1,450,029.90/769.78
  6. Step 6: Final answer
    x = 1,883.69

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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.