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Finding the Third Proportional to 20,665.13 and 30,939.75

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Solution

The third proportional to 20,665.13 and 30,939.75 is: 46,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.13 : 30,939.75 = 30,939.75 : x
  2. Step 2: Convert to fraction form
    20,665.13/30,939.75 = 30,939.75/x
  3. Step 3: Cross multiply
    20,665.13x = 30,939.75 × 30,939.75
  4. Step 4: Simplify right side
    20,665.13x = 957,268,130.06
  5. Step 5: Solve for x
    x = 957,268,130.06/20,665.13
  6. Step 6: Final answer
    x = 46,322.88

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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.