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Finding the Third Proportional to 5,422 and 7,288

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Solution

The third proportional to 5,422 and 7,288 is: 9,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422 : 7,288 = 7,288 : x
  2. Step 2: Convert to fraction form
    5,422/7,288 = 7,288/x
  3. Step 3: Cross multiply
    5,422x = 7,288 × 7,288
  4. Step 4: Simplify right side
    5,422x = 53,114,944
  5. Step 5: Solve for x
    x = 53,114,944/5,422
  6. Step 6: Final answer
    x = 9,796.19

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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.