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Finding the Third Proportional to 6,871 and 11,947

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Solution

The third proportional to 6,871 and 11,947 is: 20,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 11,947 = 11,947 : x
  2. Step 2: Convert to fraction form
    6,871/11,947 = 11,947/x
  3. Step 3: Cross multiply
    6,871x = 11,947 × 11,947
  4. Step 4: Simplify right side
    6,871x = 142,730,809
  5. Step 5: Solve for x
    x = 142,730,809/6,871
  6. Step 6: Final answer
    x = 20,772.93

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.