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Finding the Third Proportional to 52,843 and 81,947

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Solution

The third proportional to 52,843 and 81,947 is: 127,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,843 : 81,947 = 81,947 : x
  2. Step 2: Convert to fraction form
    52,843/81,947 = 81,947/x
  3. Step 3: Cross multiply
    52,843x = 81,947 × 81,947
  4. Step 4: Simplify right side
    52,843x = 6,715,310,809
  5. Step 5: Solve for x
    x = 6,715,310,809/52,843
  6. Step 6: Final answer
    x = 127,080.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.