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Finding the Third Proportional to 11,911.50 and 15,473.25

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Solution

The third proportional to 11,911.50 and 15,473.25 is: 20,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.50 : 15,473.25 = 15,473.25 : x
  2. Step 2: Convert to fraction form
    11,911.50/15,473.25 = 15,473.25/x
  3. Step 3: Cross multiply
    11,911.50x = 15,473.25 × 15,473.25
  4. Step 4: Simplify right side
    11,911.50x = 239,421,465.56
  5. Step 5: Solve for x
    x = 239,421,465.56/11,911.50
  6. Step 6: Final answer
    x = 20,100.03

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.