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Finding the Third Proportional to 11,580.75 and 23,520.38

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Solution

The third proportional to 11,580.75 and 23,520.38 is: 47,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.75 : 23,520.38 = 23,520.38 : x
  2. Step 2: Convert to fraction form
    11,580.75/23,520.38 = 23,520.38/x
  3. Step 3: Cross multiply
    11,580.75x = 23,520.38 × 23,520.38
  4. Step 4: Simplify right side
    11,580.75x = 553,208,040.14
  5. Step 5: Solve for x
    x = 553,208,040.14/11,580.75
  6. Step 6: Final answer
    x = 47,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.