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Finding the Third Proportional to 78,786 and 182,202.75

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Solution

The third proportional to 78,786 and 182,202.75 is: 421,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786 : 182,202.75 = 182,202.75 : x
  2. Step 2: Convert to fraction form
    78,786/182,202.75 = 182,202.75/x
  3. Step 3: Cross multiply
    78,786x = 182,202.75 × 182,202.75
  4. Step 4: Simplify right side
    78,786x = 33,197,842,107.56
  5. Step 5: Solve for x
    x = 33,197,842,107.56/78,786
  6. Step 6: Final answer
    x = 421,367.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.