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Finding the Third Proportional to 20,408.50 and 30,920.50

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Solution

The third proportional to 20,408.50 and 30,920.50 is: 46,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.50 : 30,920.50 = 30,920.50 : x
  2. Step 2: Convert to fraction form
    20,408.50/30,920.50 = 30,920.50/x
  3. Step 3: Cross multiply
    20,408.50x = 30,920.50 × 30,920.50
  4. Step 4: Simplify right side
    20,408.50x = 956,077,320.25
  5. Step 5: Solve for x
    x = 956,077,320.25/20,408.50
  6. Step 6: Final answer
    x = 46,847.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.