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Finding the Third Proportional to 82,839 and 127,515

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Solution

The third proportional to 82,839 and 127,515 is: 196,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839 : 127,515 = 127,515 : x
  2. Step 2: Convert to fraction form
    82,839/127,515 = 127,515/x
  3. Step 3: Cross multiply
    82,839x = 127,515 × 127,515
  4. Step 4: Simplify right side
    82,839x = 16,260,075,225
  5. Step 5: Solve for x
    x = 16,260,075,225/82,839
  6. Step 6: Final answer
    x = 196,285.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.