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Finding the Third Proportional to 19,000 and 39,884

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Solution

The third proportional to 19,000 and 39,884 is: 83,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000 : 39,884 = 39,884 : x
  2. Step 2: Convert to fraction form
    19,000/39,884 = 39,884/x
  3. Step 3: Cross multiply
    19,000x = 39,884 × 39,884
  4. Step 4: Simplify right side
    19,000x = 1,590,733,456
  5. Step 5: Solve for x
    x = 1,590,733,456/19,000
  6. Step 6: Final answer
    x = 83,722.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.