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Finding the Third Proportional to 769.88 and 1,221.94

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Solution

The third proportional to 769.88 and 1,221.94 is: 1,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.88 : 1,221.94 = 1,221.94 : x
  2. Step 2: Convert to fraction form
    769.88/1,221.94 = 1,221.94/x
  3. Step 3: Cross multiply
    769.88x = 1,221.94 × 1,221.94
  4. Step 4: Simplify right side
    769.88x = 1,493,131.25
  5. Step 5: Solve for x
    x = 1,493,131.25/769.88
  6. Step 6: Final answer
    x = 1,939.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.