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Finding the Third Proportional to 2,170 and 2,392

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Solution

The third proportional to 2,170 and 2,392 is: 2,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170 : 2,392 = 2,392 : x
  2. Step 2: Convert to fraction form
    2,170/2,392 = 2,392/x
  3. Step 3: Cross multiply
    2,170x = 2,392 × 2,392
  4. Step 4: Simplify right side
    2,170x = 5,721,664
  5. Step 5: Solve for x
    x = 5,721,664/2,170
  6. Step 6: Final answer
    x = 2,636.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.