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Finding the Third Proportional to 8,947 and 19,621

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Solution

The third proportional to 8,947 and 19,621 is: 43,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947 : 19,621 = 19,621 : x
  2. Step 2: Convert to fraction form
    8,947/19,621 = 19,621/x
  3. Step 3: Cross multiply
    8,947x = 19,621 × 19,621
  4. Step 4: Simplify right side
    8,947x = 384,983,641
  5. Step 5: Solve for x
    x = 384,983,641/8,947
  6. Step 6: Final answer
    x = 43,029.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.