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Finding the Third Proportional to 5,446.50 and 11,943

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Solution

The third proportional to 5,446.50 and 11,943 is: 26,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.50 : 11,943 = 11,943 : x
  2. Step 2: Convert to fraction form
    5,446.50/11,943 = 11,943/x
  3. Step 3: Cross multiply
    5,446.50x = 11,943 × 11,943
  4. Step 4: Simplify right side
    5,446.50x = 142,635,249
  5. Step 5: Solve for x
    x = 142,635,249/5,446.50
  6. Step 6: Final answer
    x = 26,188.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.