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Finding the Third Proportional to 5,777.81 and 8,256.56

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Solution

The third proportional to 5,777.81 and 8,256.56 is: 11,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.81 : 8,256.56 = 8,256.56 : x
  2. Step 2: Convert to fraction form
    5,777.81/8,256.56 = 8,256.56/x
  3. Step 3: Cross multiply
    5,777.81x = 8,256.56 × 8,256.56
  4. Step 4: Simplify right side
    5,777.81x = 68,170,824.32
  5. Step 5: Solve for x
    x = 68,170,824.32/5,777.81
  6. Step 6: Final answer
    x = 11,798.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.