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Finding the Third Proportional to 3,947 and 8,803

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Solution

The third proportional to 3,947 and 8,803 is: 19,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947 : 8,803 = 8,803 : x
  2. Step 2: Convert to fraction form
    3,947/8,803 = 8,803/x
  3. Step 3: Cross multiply
    3,947x = 8,803 × 8,803
  4. Step 4: Simplify right side
    3,947x = 77,492,809
  5. Step 5: Solve for x
    x = 77,492,809/3,947
  6. Step 6: Final answer
    x = 19,633.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.