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Finding the Third Proportional to 7,920.75 and 11,073.50

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Solution

The third proportional to 7,920.75 and 11,073.50 is: 15,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.75 : 11,073.50 = 11,073.50 : x
  2. Step 2: Convert to fraction form
    7,920.75/11,073.50 = 11,073.50/x
  3. Step 3: Cross multiply
    7,920.75x = 11,073.50 × 11,073.50
  4. Step 4: Simplify right side
    7,920.75x = 122,622,402.25
  5. Step 5: Solve for x
    x = 122,622,402.25/7,920.75
  6. Step 6: Final answer
    x = 15,481.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.