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Finding the Third Proportional to 19,869 and 30,977

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Solution

The third proportional to 19,869 and 30,977 is: 48,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869 : 30,977 = 30,977 : x
  2. Step 2: Convert to fraction form
    19,869/30,977 = 30,977/x
  3. Step 3: Cross multiply
    19,869x = 30,977 × 30,977
  4. Step 4: Simplify right side
    19,869x = 959,574,529
  5. Step 5: Solve for x
    x = 959,574,529/19,869
  6. Step 6: Final answer
    x = 48,295.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.