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Finding the Third Proportional to 2,580 and 3,977

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Solution

The third proportional to 2,580 and 3,977 is: 6,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 3,977 = 3,977 : x
  2. Step 2: Convert to fraction form
    2,580/3,977 = 3,977/x
  3. Step 3: Cross multiply
    2,580x = 3,977 × 3,977
  4. Step 4: Simplify right side
    2,580x = 15,816,529
  5. Step 5: Solve for x
    x = 15,816,529/2,580
  6. Step 6: Final answer
    x = 6,130.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.