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Finding the Third Proportional to 13,770 and 20,621.25

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Solution

The third proportional to 13,770 and 20,621.25 is: 30,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 20,621.25 = 20,621.25 : x
  2. Step 2: Convert to fraction form
    13,770/20,621.25 = 20,621.25/x
  3. Step 3: Cross multiply
    13,770x = 20,621.25 × 20,621.25
  4. Step 4: Simplify right side
    13,770x = 425,235,951.56
  5. Step 5: Solve for x
    x = 425,235,951.56/13,770
  6. Step 6: Final answer
    x = 30,881.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.