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Finding the Third Proportional to 38,628.50 and 81,408.25

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Solution

The third proportional to 38,628.50 and 81,408.25 is: 171,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,628.50 : 81,408.25 = 81,408.25 : x
  2. Step 2: Convert to fraction form
    38,628.50/81,408.25 = 81,408.25/x
  3. Step 3: Cross multiply
    38,628.50x = 81,408.25 × 81,408.25
  4. Step 4: Simplify right side
    38,628.50x = 6,627,303,168.06
  5. Step 5: Solve for x
    x = 6,627,303,168.06/38,628.50
  6. Step 6: Final answer
    x = 171,565.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.