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Finding the Third Proportional to 82,379 and 125,148

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Solution

The third proportional to 82,379 and 125,148 is: 190,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,379 : 125,148 = 125,148 : x
  2. Step 2: Convert to fraction form
    82,379/125,148 = 125,148/x
  3. Step 3: Cross multiply
    82,379x = 125,148 × 125,148
  4. Step 4: Simplify right side
    82,379x = 15,662,021,904
  5. Step 5: Solve for x
    x = 15,662,021,904/82,379
  6. Step 6: Final answer
    x = 190,121.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.