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Finding the Third Proportional to 13,778.44 and 21,897.84

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Solution

The third proportional to 13,778.44 and 21,897.84 is: 34,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.44 : 21,897.84 = 21,897.84 : x
  2. Step 2: Convert to fraction form
    13,778.44/21,897.84 = 21,897.84/x
  3. Step 3: Cross multiply
    13,778.44x = 21,897.84 × 21,897.84
  4. Step 4: Simplify right side
    13,778.44x = 479,515,560.90
  5. Step 5: Solve for x
    x = 479,515,560.90/13,778.44
  6. Step 6: Final answer
    x = 34,801.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.