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Finding the Third Proportional to 4,455.38 and 9,796.69

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Solution

The third proportional to 4,455.38 and 9,796.69 is: 21,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.38 : 9,796.69 = 9,796.69 : x
  2. Step 2: Convert to fraction form
    4,455.38/9,796.69 = 9,796.69/x
  3. Step 3: Cross multiply
    4,455.38x = 9,796.69 × 9,796.69
  4. Step 4: Simplify right side
    4,455.38x = 95,975,085.97
  5. Step 5: Solve for x
    x = 95,975,085.97/4,455.38
  6. Step 6: Final answer
    x = 21,541.42

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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.