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Finding the Third Proportional to 6,777 and 7,255.50

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Solution

The third proportional to 6,777 and 7,255.50 is: 7,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777 : 7,255.50 = 7,255.50 : x
  2. Step 2: Convert to fraction form
    6,777/7,255.50 = 7,255.50/x
  3. Step 3: Cross multiply
    6,777x = 7,255.50 × 7,255.50
  4. Step 4: Simplify right side
    6,777x = 52,642,280.25
  5. Step 5: Solve for x
    x = 52,642,280.25/6,777
  6. Step 6: Final answer
    x = 7,767.79

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.