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Finding the Third Proportional to 7,144 and 15,380

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Solution

The third proportional to 7,144 and 15,380 is: 33,110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144 : 15,380 = 15,380 : x
  2. Step 2: Convert to fraction form
    7,144/15,380 = 15,380/x
  3. Step 3: Cross multiply
    7,144x = 15,380 × 15,380
  4. Step 4: Simplify right side
    7,144x = 236,544,400
  5. Step 5: Solve for x
    x = 236,544,400/7,144
  6. Step 6: Final answer
    x = 33,110.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.