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Finding the Third Proportional to 3,118.92 and 6,642.42

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Solution

The third proportional to 3,118.92 and 6,642.42 is: 14,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.92 : 6,642.42 = 6,642.42 : x
  2. Step 2: Convert to fraction form
    3,118.92/6,642.42 = 6,642.42/x
  3. Step 3: Cross multiply
    3,118.92x = 6,642.42 × 6,642.42
  4. Step 4: Simplify right side
    3,118.92x = 44,121,768.37
  5. Step 5: Solve for x
    x = 44,121,768.37/3,118.92
  6. Step 6: Final answer
    x = 14,146.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.