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Finding the Third Proportional to 5,852 and 11,164

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Solution

The third proportional to 5,852 and 11,164 is: 21,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852 : 11,164 = 11,164 : x
  2. Step 2: Convert to fraction form
    5,852/11,164 = 11,164/x
  3. Step 3: Cross multiply
    5,852x = 11,164 × 11,164
  4. Step 4: Simplify right side
    5,852x = 124,634,896
  5. Step 5: Solve for x
    x = 124,634,896/5,852
  6. Step 6: Final answer
    x = 21,297.83

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.