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Finding the Third Proportional to 83,021.25 and 178,137.75

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Solution

The third proportional to 83,021.25 and 178,137.75 is: 382,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,021.25 : 178,137.75 = 178,137.75 : x
  2. Step 2: Convert to fraction form
    83,021.25/178,137.75 = 178,137.75/x
  3. Step 3: Cross multiply
    83,021.25x = 178,137.75 × 178,137.75
  4. Step 4: Simplify right side
    83,021.25x = 31,733,057,975.06
  5. Step 5: Solve for x
    x = 31,733,057,975.06/83,021.25
  6. Step 6: Final answer
    x = 382,228.14

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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.