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Finding the Third Proportional to 6,408.75 and 7,353.75

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Solution

The third proportional to 6,408.75 and 7,353.75 is: 8,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.75 : 7,353.75 = 7,353.75 : x
  2. Step 2: Convert to fraction form
    6,408.75/7,353.75 = 7,353.75/x
  3. Step 3: Cross multiply
    6,408.75x = 7,353.75 × 7,353.75
  4. Step 4: Simplify right side
    6,408.75x = 54,077,639.06
  5. Step 5: Solve for x
    x = 54,077,639.06/6,408.75
  6. Step 6: Final answer
    x = 8,438.09

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.