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Finding the Third Proportional to 481.88 and 1,011.56

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Solution

The third proportional to 481.88 and 1,011.56 is: 2,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.88 : 1,011.56 = 1,011.56 : x
  2. Step 2: Convert to fraction form
    481.88/1,011.56 = 1,011.56/x
  3. Step 3: Cross multiply
    481.88x = 1,011.56 × 1,011.56
  4. Step 4: Simplify right side
    481.88x = 1,023,258.69
  5. Step 5: Solve for x
    x = 1,023,258.69/481.88
  6. Step 6: Final answer
    x = 2,123.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.