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Finding the Third Proportional to 12,840.75 and 28,203.75

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Solution

The third proportional to 12,840.75 and 28,203.75 is: 61,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.75 : 28,203.75 = 28,203.75 : x
  2. Step 2: Convert to fraction form
    12,840.75/28,203.75 = 28,203.75/x
  3. Step 3: Cross multiply
    12,840.75x = 28,203.75 × 28,203.75
  4. Step 4: Simplify right side
    12,840.75x = 795,451,514.06
  5. Step 5: Solve for x
    x = 795,451,514.06/12,840.75
  6. Step 6: Final answer
    x = 61,947.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.