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Finding the Third Proportional to 1,538 and 3,100

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Solution

The third proportional to 1,538 and 3,100 is: 6,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538 : 3,100 = 3,100 : x
  2. Step 2: Convert to fraction form
    1,538/3,100 = 3,100/x
  3. Step 3: Cross multiply
    1,538x = 3,100 × 3,100
  4. Step 4: Simplify right side
    1,538x = 9,610,000
  5. Step 5: Solve for x
    x = 9,610,000/1,538
  6. Step 6: Final answer
    x = 6,248.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.