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Finding the Third Proportional to 8,880 and 20,946

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Solution

The third proportional to 8,880 and 20,946 is: 49,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,880 : 20,946 = 20,946 : x
  2. Step 2: Convert to fraction form
    8,880/20,946 = 20,946/x
  3. Step 3: Cross multiply
    8,880x = 20,946 × 20,946
  4. Step 4: Simplify right side
    8,880x = 438,734,916
  5. Step 5: Solve for x
    x = 438,734,916/8,880
  6. Step 6: Final answer
    x = 49,407.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.