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Finding the Third Proportional to 481.08 and 1,038.90

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Solution

The third proportional to 481.08 and 1,038.90 is: 2,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.08 : 1,038.90 = 1,038.90 : x
  2. Step 2: Convert to fraction form
    481.08/1,038.90 = 1,038.90/x
  3. Step 3: Cross multiply
    481.08x = 1,038.90 × 1,038.90
  4. Step 4: Simplify right side
    481.08x = 1,079,318.08
  5. Step 5: Solve for x
    x = 1,079,318.08/481.08
  6. Step 6: Final answer
    x = 2,243.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.