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Finding the Third Proportional to 10,936.90 and 15,472.27

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Solution

The third proportional to 10,936.90 and 15,472.27 is: 21,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936.90 : 15,472.27 = 15,472.27 : x
  2. Step 2: Convert to fraction form
    10,936.90/15,472.27 = 15,472.27/x
  3. Step 3: Cross multiply
    10,936.90x = 15,472.27 × 15,472.27
  4. Step 4: Simplify right side
    10,936.90x = 239,391,003.57
  5. Step 5: Solve for x
    x = 239,391,003.57/10,936.90
  6. Step 6: Final answer
    x = 21,888.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.