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Finding the Third Proportional to 2,262 and 3,497

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Solution

The third proportional to 2,262 and 3,497 is: 5,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262 : 3,497 = 3,497 : x
  2. Step 2: Convert to fraction form
    2,262/3,497 = 3,497/x
  3. Step 3: Cross multiply
    2,262x = 3,497 × 3,497
  4. Step 4: Simplify right side
    2,262x = 12,229,009
  5. Step 5: Solve for x
    x = 12,229,009/2,262
  6. Step 6: Final answer
    x = 5,406.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.