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Finding the Third Proportional to 7,278.75 and 11,131.88

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Solution

The third proportional to 7,278.75 and 11,131.88 is: 17,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.75 : 11,131.88 = 11,131.88 : x
  2. Step 2: Convert to fraction form
    7,278.75/11,131.88 = 11,131.88/x
  3. Step 3: Cross multiply
    7,278.75x = 11,131.88 × 11,131.88
  4. Step 4: Simplify right side
    7,278.75x = 123,918,641.02
  5. Step 5: Solve for x
    x = 123,918,641.02/7,278.75
  6. Step 6: Final answer
    x = 17,024.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.