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Finding the Third Proportional to 3,520 and 5,144

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Solution

The third proportional to 3,520 and 5,144 is: 7,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520 : 5,144 = 5,144 : x
  2. Step 2: Convert to fraction form
    3,520/5,144 = 5,144/x
  3. Step 3: Cross multiply
    3,520x = 5,144 × 5,144
  4. Step 4: Simplify right side
    3,520x = 26,460,736
  5. Step 5: Solve for x
    x = 26,460,736/3,520
  6. Step 6: Final answer
    x = 7,517.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.