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Finding the Third Proportional to 6,418.13 and 13,889.25

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Solution

The third proportional to 6,418.13 and 13,889.25 is: 30,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.13 : 13,889.25 = 13,889.25 : x
  2. Step 2: Convert to fraction form
    6,418.13/13,889.25 = 13,889.25/x
  3. Step 3: Cross multiply
    6,418.13x = 13,889.25 × 13,889.25
  4. Step 4: Simplify right side
    6,418.13x = 192,911,265.56
  5. Step 5: Solve for x
    x = 192,911,265.56/6,418.13
  6. Step 6: Final answer
    x = 30,057.26

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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.