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Finding the Third Proportional to 12,855 and 28,171.75

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Solution

The third proportional to 12,855 and 28,171.75 is: 61,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855 : 28,171.75 = 28,171.75 : x
  2. Step 2: Convert to fraction form
    12,855/28,171.75 = 28,171.75/x
  3. Step 3: Cross multiply
    12,855x = 28,171.75 × 28,171.75
  4. Step 4: Simplify right side
    12,855x = 793,647,498.06
  5. Step 5: Solve for x
    x = 793,647,498.06/12,855
  6. Step 6: Final answer
    x = 61,738.43

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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.