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Finding the Third Proportional to 8,294.75 and 12,843.75

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Solution

The third proportional to 8,294.75 and 12,843.75 is: 19,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.75 : 12,843.75 = 12,843.75 : x
  2. Step 2: Convert to fraction form
    8,294.75/12,843.75 = 12,843.75/x
  3. Step 3: Cross multiply
    8,294.75x = 12,843.75 × 12,843.75
  4. Step 4: Simplify right side
    8,294.75x = 164,961,914.06
  5. Step 5: Solve for x
    x = 164,961,914.06/8,294.75
  6. Step 6: Final answer
    x = 19,887.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.