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Finding the Third Proportional to 768.19 and 1,217.81

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Solution

The third proportional to 768.19 and 1,217.81 is: 1,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.19 : 1,217.81 = 1,217.81 : x
  2. Step 2: Convert to fraction form
    768.19/1,217.81 = 1,217.81/x
  3. Step 3: Cross multiply
    768.19x = 1,217.81 × 1,217.81
  4. Step 4: Simplify right side
    768.19x = 1,483,067.29
  5. Step 5: Solve for x
    x = 1,483,067.29/768.19
  6. Step 6: Final answer
    x = 1,930.61

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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.