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Finding the Third Proportional to 2,085 and 3,136

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Solution

The third proportional to 2,085 and 3,136 is: 4,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 3,136 = 3,136 : x
  2. Step 2: Convert to fraction form
    2,085/3,136 = 3,136/x
  3. Step 3: Cross multiply
    2,085x = 3,136 × 3,136
  4. Step 4: Simplify right side
    2,085x = 9,834,496
  5. Step 5: Solve for x
    x = 9,834,496/2,085
  6. Step 6: Final answer
    x = 4,716.78

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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.