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Finding the Third Proportional to 3,044.81 and 6,648.19

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Solution

The third proportional to 3,044.81 and 6,648.19 is: 14,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.81 : 6,648.19 = 6,648.19 : x
  2. Step 2: Convert to fraction form
    3,044.81/6,648.19 = 6,648.19/x
  3. Step 3: Cross multiply
    3,044.81x = 6,648.19 × 6,648.19
  4. Step 4: Simplify right side
    3,044.81x = 44,198,397.04
  5. Step 5: Solve for x
    x = 44,198,397.04/3,044.81
  6. Step 6: Final answer
    x = 14,515.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.