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Finding the Third Proportional to 20,408.25 and 31,220.25

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Solution

The third proportional to 20,408.25 and 31,220.25 is: 47,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.25 : 31,220.25 = 31,220.25 : x
  2. Step 2: Convert to fraction form
    20,408.25/31,220.25 = 31,220.25/x
  3. Step 3: Cross multiply
    20,408.25x = 31,220.25 × 31,220.25
  4. Step 4: Simplify right side
    20,408.25x = 974,704,010.06
  5. Step 5: Solve for x
    x = 974,704,010.06/20,408.25
  6. Step 6: Final answer
    x = 47,760.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.