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Finding the Third Proportional to 3,100 and 4,643

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Solution

The third proportional to 3,100 and 4,643 is: 6,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100 : 4,643 = 4,643 : x
  2. Step 2: Convert to fraction form
    3,100/4,643 = 4,643/x
  3. Step 3: Cross multiply
    3,100x = 4,643 × 4,643
  4. Step 4: Simplify right side
    3,100x = 21,557,449
  5. Step 5: Solve for x
    x = 21,557,449/3,100
  6. Step 6: Final answer
    x = 6,954.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.