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Finding the Third Proportional to 8,906.63 and 13,221.56

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Solution

The third proportional to 8,906.63 and 13,221.56 is: 19,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.63 : 13,221.56 = 13,221.56 : x
  2. Step 2: Convert to fraction form
    8,906.63/13,221.56 = 13,221.56/x
  3. Step 3: Cross multiply
    8,906.63x = 13,221.56 × 13,221.56
  4. Step 4: Simplify right side
    8,906.63x = 174,809,714.94
  5. Step 5: Solve for x
    x = 174,809,714.94/8,906.63
  6. Step 6: Final answer
    x = 19,626.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.