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Finding the Third Proportional to 768.50 and 1,193.25

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Solution

The third proportional to 768.50 and 1,193.25 is: 1,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.50 : 1,193.25 = 1,193.25 : x
  2. Step 2: Convert to fraction form
    768.50/1,193.25 = 1,193.25/x
  3. Step 3: Cross multiply
    768.50x = 1,193.25 × 1,193.25
  4. Step 4: Simplify right side
    768.50x = 1,423,845.56
  5. Step 5: Solve for x
    x = 1,423,845.56/768.50
  6. Step 6: Final answer
    x = 1,852.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.