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Finding the Third Proportional to 82,878 and 127,179

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Solution

The third proportional to 82,878 and 127,179 is: 195,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878 : 127,179 = 127,179 : x
  2. Step 2: Convert to fraction form
    82,878/127,179 = 127,179/x
  3. Step 3: Cross multiply
    82,878x = 127,179 × 127,179
  4. Step 4: Simplify right side
    82,878x = 16,174,498,041
  5. Step 5: Solve for x
    x = 16,174,498,041/82,878
  6. Step 6: Final answer
    x = 195,160.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.