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Finding the Third Proportional to 786.75 and 2,115.75

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Solution

The third proportional to 786.75 and 2,115.75 is: 5,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 2,115.75 = 2,115.75 : x
  2. Step 2: Convert to fraction form
    786.75/2,115.75 = 2,115.75/x
  3. Step 3: Cross multiply
    786.75x = 2,115.75 × 2,115.75
  4. Step 4: Simplify right side
    786.75x = 4,476,398.06
  5. Step 5: Solve for x
    x = 4,476,398.06/786.75
  6. Step 6: Final answer
    x = 5,689.73

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.