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Finding the Third Proportional to 3,100.78 and 6,586.31

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Solution

The third proportional to 3,100.78 and 6,586.31 is: 13,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.78 : 6,586.31 = 6,586.31 : x
  2. Step 2: Convert to fraction form
    3,100.78/6,586.31 = 6,586.31/x
  3. Step 3: Cross multiply
    3,100.78x = 6,586.31 × 6,586.31
  4. Step 4: Simplify right side
    3,100.78x = 43,379,512.35
  5. Step 5: Solve for x
    x = 43,379,512.35/3,100.78
  6. Step 6: Final answer
    x = 13,989.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.