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Finding the Third Proportional to 3,747 and 8,207.81

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Solution

The third proportional to 3,747 and 8,207.81 is: 17,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747 : 8,207.81 = 8,207.81 : x
  2. Step 2: Convert to fraction form
    3,747/8,207.81 = 8,207.81/x
  3. Step 3: Cross multiply
    3,747x = 8,207.81 × 8,207.81
  4. Step 4: Simplify right side
    3,747x = 67,368,186.04
  5. Step 5: Solve for x
    x = 67,368,186.04/3,747
  6. Step 6: Final answer
    x = 17,979.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.