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Finding the Third Proportional to 82,839.75 and 178,763

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Solution

The third proportional to 82,839.75 and 178,763 is: 385,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839.75 : 178,763 = 178,763 : x
  2. Step 2: Convert to fraction form
    82,839.75/178,763 = 178,763/x
  3. Step 3: Cross multiply
    82,839.75x = 178,763 × 178,763
  4. Step 4: Simplify right side
    82,839.75x = 31,956,210,169
  5. Step 5: Solve for x
    x = 31,956,210,169/82,839.75
  6. Step 6: Final answer
    x = 385,759.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.