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Finding the Third Proportional to 5,125.78 and 7,765.56

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Solution

The third proportional to 5,125.78 and 7,765.56 is: 11,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 7,765.56 = 7,765.56 : x
  2. Step 2: Convert to fraction form
    5,125.78/7,765.56 = 7,765.56/x
  3. Step 3: Cross multiply
    5,125.78x = 7,765.56 × 7,765.56
  4. Step 4: Simplify right side
    5,125.78x = 60,303,900.27
  5. Step 5: Solve for x
    x = 60,303,900.27/5,125.78
  6. Step 6: Final answer
    x = 11,764.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.