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Finding the Third Proportional to 12,896 and 20,220

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Solution

The third proportional to 12,896 and 20,220 is: 31,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896 : 20,220 = 20,220 : x
  2. Step 2: Convert to fraction form
    12,896/20,220 = 20,220/x
  3. Step 3: Cross multiply
    12,896x = 20,220 × 20,220
  4. Step 4: Simplify right side
    12,896x = 408,848,400
  5. Step 5: Solve for x
    x = 408,848,400/12,896
  6. Step 6: Final answer
    x = 31,703.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.