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Finding the Third Proportional to 11,089 and 23,936.50

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Solution

The third proportional to 11,089 and 23,936.50 is: 51,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089 : 23,936.50 = 23,936.50 : x
  2. Step 2: Convert to fraction form
    11,089/23,936.50 = 23,936.50/x
  3. Step 3: Cross multiply
    11,089x = 23,936.50 × 23,936.50
  4. Step 4: Simplify right side
    11,089x = 572,956,032.25
  5. Step 5: Solve for x
    x = 572,956,032.25/11,089
  6. Step 6: Final answer
    x = 51,668.86

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