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Finding the Third Proportional to 5,678.54 and 11,640.43

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Solution

The third proportional to 5,678.54 and 11,640.43 is: 23,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.54 : 11,640.43 = 11,640.43 : x
  2. Step 2: Convert to fraction form
    5,678.54/11,640.43 = 11,640.43/x
  3. Step 3: Cross multiply
    5,678.54x = 11,640.43 × 11,640.43
  4. Step 4: Simplify right side
    5,678.54x = 135,499,557.84
  5. Step 5: Solve for x
    x = 135,499,557.84/5,678.54
  6. Step 6: Final answer
    x = 23,861.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.