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Finding the Third Proportional to 38,838 and 84,945

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Solution

The third proportional to 38,838 and 84,945 is: 185,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,838 : 84,945 = 84,945 : x
  2. Step 2: Convert to fraction form
    38,838/84,945 = 84,945/x
  3. Step 3: Cross multiply
    38,838x = 84,945 × 84,945
  4. Step 4: Simplify right side
    38,838x = 7,215,653,025
  5. Step 5: Solve for x
    x = 7,215,653,025/38,838
  6. Step 6: Final answer
    x = 185,788.48

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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.