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Finding the Third Proportional to 6,610.78 and 13,768.31

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Solution

The third proportional to 6,610.78 and 13,768.31 is: 28,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.78 : 13,768.31 = 13,768.31 : x
  2. Step 2: Convert to fraction form
    6,610.78/13,768.31 = 13,768.31/x
  3. Step 3: Cross multiply
    6,610.78x = 13,768.31 × 13,768.31
  4. Step 4: Simplify right side
    6,610.78x = 189,566,429.10
  5. Step 5: Solve for x
    x = 189,566,429.10/6,610.78
  6. Step 6: Final answer
    x = 28,675.34

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.