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Finding the Third Proportional to 5,025.63 and 10,982.75

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Solution

The third proportional to 5,025.63 and 10,982.75 is: 24,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025.63 : 10,982.75 = 10,982.75 : x
  2. Step 2: Convert to fraction form
    5,025.63/10,982.75 = 10,982.75/x
  3. Step 3: Cross multiply
    5,025.63x = 10,982.75 × 10,982.75
  4. Step 4: Simplify right side
    5,025.63x = 120,620,797.56
  5. Step 5: Solve for x
    x = 120,620,797.56/5,025.63
  6. Step 6: Final answer
    x = 24,001.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.