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Finding the Third Proportional to 3,424 and 5,240

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Solution

The third proportional to 3,424 and 5,240 is: 8,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424 : 5,240 = 5,240 : x
  2. Step 2: Convert to fraction form
    3,424/5,240 = 5,240/x
  3. Step 3: Cross multiply
    3,424x = 5,240 × 5,240
  4. Step 4: Simplify right side
    3,424x = 27,457,600
  5. Step 5: Solve for x
    x = 27,457,600/3,424
  6. Step 6: Final answer
    x = 8,019.16

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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.