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Finding the Third Proportional to 786.38 and 1,729.69

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Solution

The third proportional to 786.38 and 1,729.69 is: 3,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,729.69 = 1,729.69 : x
  2. Step 2: Convert to fraction form
    786.38/1,729.69 = 1,729.69/x
  3. Step 3: Cross multiply
    786.38x = 1,729.69 × 1,729.69
  4. Step 4: Simplify right side
    786.38x = 2,991,818.85
  5. Step 5: Solve for x
    x = 2,991,818.85/786.38
  6. Step 6: Final answer
    x = 3,804.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.