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Finding the Third Proportional to 5,410.13 and 11,684.25

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Solution

The third proportional to 5,410.13 and 11,684.25 is: 25,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.13 : 11,684.25 = 11,684.25 : x
  2. Step 2: Convert to fraction form
    5,410.13/11,684.25 = 11,684.25/x
  3. Step 3: Cross multiply
    5,410.13x = 11,684.25 × 11,684.25
  4. Step 4: Simplify right side
    5,410.13x = 136,521,698.06
  5. Step 5: Solve for x
    x = 136,521,698.06/5,410.13
  6. Step 6: Final answer
    x = 25,234.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.