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Finding the Third Proportional to 38,075 and 81,819

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Solution

The third proportional to 38,075 and 81,819 is: 175,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075 : 81,819 = 81,819 : x
  2. Step 2: Convert to fraction form
    38,075/81,819 = 81,819/x
  3. Step 3: Cross multiply
    38,075x = 81,819 × 81,819
  4. Step 4: Simplify right side
    38,075x = 6,694,348,761
  5. Step 5: Solve for x
    x = 6,694,348,761/38,075
  6. Step 6: Final answer
    x = 175,820.06

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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.