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Finding the Third Proportional to 1,285.88 and 3,096.56

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Solution

The third proportional to 1,285.88 and 3,096.56 is: 7,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.88 : 3,096.56 = 3,096.56 : x
  2. Step 2: Convert to fraction form
    1,285.88/3,096.56 = 3,096.56/x
  3. Step 3: Cross multiply
    1,285.88x = 3,096.56 × 3,096.56
  4. Step 4: Simplify right side
    1,285.88x = 9,588,699.32
  5. Step 5: Solve for x
    x = 9,588,699.32/1,285.88
  6. Step 6: Final answer
    x = 7,456.95

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.