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Finding the Third Proportional to 20,838 and 43,854

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Solution

The third proportional to 20,838 and 43,854 is: 92,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838 : 43,854 = 43,854 : x
  2. Step 2: Convert to fraction form
    20,838/43,854 = 43,854/x
  3. Step 3: Cross multiply
    20,838x = 43,854 × 43,854
  4. Step 4: Simplify right side
    20,838x = 1,923,173,316
  5. Step 5: Solve for x
    x = 1,923,173,316/20,838
  6. Step 6: Final answer
    x = 92,291.65

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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.