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Finding the Third Proportional to 38,947 and 84,455

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Solution

The third proportional to 38,947 and 84,455 is: 183,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,947 : 84,455 = 84,455 : x
  2. Step 2: Convert to fraction form
    38,947/84,455 = 84,455/x
  3. Step 3: Cross multiply
    38,947x = 84,455 × 84,455
  4. Step 4: Simplify right side
    38,947x = 7,132,647,025
  5. Step 5: Solve for x
    x = 7,132,647,025/38,947
  6. Step 6: Final answer
    x = 183,137.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.