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Finding the Third Proportional to 5,415.75 and 6,806.25

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Solution

The third proportional to 5,415.75 and 6,806.25 is: 8,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.75 : 6,806.25 = 6,806.25 : x
  2. Step 2: Convert to fraction form
    5,415.75/6,806.25 = 6,806.25/x
  3. Step 3: Cross multiply
    5,415.75x = 6,806.25 × 6,806.25
  4. Step 4: Simplify right side
    5,415.75x = 46,325,039.06
  5. Step 5: Solve for x
    x = 46,325,039.06/5,415.75
  6. Step 6: Final answer
    x = 8,553.76

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.