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Finding the Third Proportional to 5,420 and 7,249

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Solution

The third proportional to 5,420 and 7,249 is: 9,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 7,249 = 7,249 : x
  2. Step 2: Convert to fraction form
    5,420/7,249 = 7,249/x
  3. Step 3: Cross multiply
    5,420x = 7,249 × 7,249
  4. Step 4: Simplify right side
    5,420x = 52,548,001
  5. Step 5: Solve for x
    x = 52,548,001/5,420
  6. Step 6: Final answer
    x = 9,695.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.