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Finding the Third Proportional to 6,777.42 and 7,719.05

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Solution

The third proportional to 6,777.42 and 7,719.05 is: 8,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.42 : 7,719.05 = 7,719.05 : x
  2. Step 2: Convert to fraction form
    6,777.42/7,719.05 = 7,719.05/x
  3. Step 3: Cross multiply
    6,777.42x = 7,719.05 × 7,719.05
  4. Step 4: Simplify right side
    6,777.42x = 59,583,684.66
  5. Step 5: Solve for x
    x = 59,583,684.66/6,777.42
  6. Step 6: Final answer
    x = 8,791.50

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.