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Finding the Third Proportional to 20,787.94 and 45,728.06

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Solution

The third proportional to 20,787.94 and 45,728.06 is: 100,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.94 : 45,728.06 = 45,728.06 : x
  2. Step 2: Convert to fraction form
    20,787.94/45,728.06 = 45,728.06/x
  3. Step 3: Cross multiply
    20,787.94x = 45,728.06 × 45,728.06
  4. Step 4: Simplify right side
    20,787.94x = 2,091,055,700.00
  5. Step 5: Solve for x
    x = 2,091,055,700.00/20,787.94
  6. Step 6: Final answer
    x = 100,589.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.