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Finding the Third Proportional to 20,389 and 43,754

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Solution

The third proportional to 20,389 and 43,754 is: 93,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389 : 43,754 = 43,754 : x
  2. Step 2: Convert to fraction form
    20,389/43,754 = 43,754/x
  3. Step 3: Cross multiply
    20,389x = 43,754 × 43,754
  4. Step 4: Simplify right side
    20,389x = 1,914,412,516
  5. Step 5: Solve for x
    x = 1,914,412,516/20,389
  6. Step 6: Final answer
    x = 93,894.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.