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Finding the Third Proportional to 12,100.44 and 26,211.50

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Solution

The third proportional to 12,100.44 and 26,211.50 is: 56,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.44 : 26,211.50 = 26,211.50 : x
  2. Step 2: Convert to fraction form
    12,100.44/26,211.50 = 26,211.50/x
  3. Step 3: Cross multiply
    12,100.44x = 26,211.50 × 26,211.50
  4. Step 4: Simplify right side
    12,100.44x = 687,042,732.25
  5. Step 5: Solve for x
    x = 687,042,732.25/12,100.44
  6. Step 6: Final answer
    x = 56,778.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.