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Finding the Third Proportional to 3,862.69 and 8,477.16

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Solution

The third proportional to 3,862.69 and 8,477.16 is: 18,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 8,477.16 = 8,477.16 : x
  2. Step 2: Convert to fraction form
    3,862.69/8,477.16 = 8,477.16/x
  3. Step 3: Cross multiply
    3,862.69x = 8,477.16 × 8,477.16
  4. Step 4: Simplify right side
    3,862.69x = 71,862,178.09
  5. Step 5: Solve for x
    x = 71,862,178.09/3,862.69
  6. Step 6: Final answer
    x = 18,604.19

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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.