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Finding the Third Proportional to 3,462.75 and 6,644.53

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Solution

The third proportional to 3,462.75 and 6,644.53 is: 12,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.75 : 6,644.53 = 6,644.53 : x
  2. Step 2: Convert to fraction form
    3,462.75/6,644.53 = 6,644.53/x
  3. Step 3: Cross multiply
    3,462.75x = 6,644.53 × 6,644.53
  4. Step 4: Simplify right side
    3,462.75x = 44,149,795.53
  5. Step 5: Solve for x
    x = 44,149,795.53/3,462.75
  6. Step 6: Final answer
    x = 12,749.92

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.