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Finding the Third Proportional to 3,643.13 and 8,410.13

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Solution

The third proportional to 3,643.13 and 8,410.13 is: 19,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.13 : 8,410.13 = 8,410.13 : x
  2. Step 2: Convert to fraction form
    3,643.13/8,410.13 = 8,410.13/x
  3. Step 3: Cross multiply
    3,643.13x = 8,410.13 × 8,410.13
  4. Step 4: Simplify right side
    3,643.13x = 70,730,202.52
  5. Step 5: Solve for x
    x = 70,730,202.52/3,643.13
  6. Step 6: Final answer
    x = 19,414.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.