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Finding the Third Proportional to 2,981.81 and 6,414.19

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Solution

The third proportional to 2,981.81 and 6,414.19 is: 13,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.81 : 6,414.19 = 6,414.19 : x
  2. Step 2: Convert to fraction form
    2,981.81/6,414.19 = 6,414.19/x
  3. Step 3: Cross multiply
    2,981.81x = 6,414.19 × 6,414.19
  4. Step 4: Simplify right side
    2,981.81x = 41,141,801.29
  5. Step 5: Solve for x
    x = 41,141,801.29/2,981.81
  6. Step 6: Final answer
    x = 13,797.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.