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Finding the Third Proportional to 785.75 and 2,137.25

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Solution

The third proportional to 785.75 and 2,137.25 is: 5,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.75 : 2,137.25 = 2,137.25 : x
  2. Step 2: Convert to fraction form
    785.75/2,137.25 = 2,137.25/x
  3. Step 3: Cross multiply
    785.75x = 2,137.25 × 2,137.25
  4. Step 4: Simplify right side
    785.75x = 4,567,837.56
  5. Step 5: Solve for x
    x = 4,567,837.56/785.75
  6. Step 6: Final answer
    x = 5,813.35

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.