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Finding the Third Proportional to 8,601.75 and 11,201.63

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Solution

The third proportional to 8,601.75 and 11,201.63 is: 14,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.75 : 11,201.63 = 11,201.63 : x
  2. Step 2: Convert to fraction form
    8,601.75/11,201.63 = 11,201.63/x
  3. Step 3: Cross multiply
    8,601.75x = 11,201.63 × 11,201.63
  4. Step 4: Simplify right side
    8,601.75x = 125,476,402.64
  5. Step 5: Solve for x
    x = 125,476,402.64/8,601.75
  6. Step 6: Final answer
    x = 14,587.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.