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Finding the Third Proportional to 2,081.81 and 4,209.19

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Solution

The third proportional to 2,081.81 and 4,209.19 is: 8,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.81 : 4,209.19 = 4,209.19 : x
  2. Step 2: Convert to fraction form
    2,081.81/4,209.19 = 4,209.19/x
  3. Step 3: Cross multiply
    2,081.81x = 4,209.19 × 4,209.19
  4. Step 4: Simplify right side
    2,081.81x = 17,717,259.41
  5. Step 5: Solve for x
    x = 17,717,259.41/2,081.81
  6. Step 6: Final answer
    x = 8,510.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.