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Finding the Third Proportional to 20,820.38 and 33,113.81

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Solution

The third proportional to 20,820.38 and 33,113.81 is: 52,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.38 : 33,113.81 = 33,113.81 : x
  2. Step 2: Convert to fraction form
    20,820.38/33,113.81 = 33,113.81/x
  3. Step 3: Cross multiply
    20,820.38x = 33,113.81 × 33,113.81
  4. Step 4: Simplify right side
    20,820.38x = 1,096,524,578.29
  5. Step 5: Solve for x
    x = 1,096,524,578.29/20,820.38
  6. Step 6: Final answer
    x = 52,665.94

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