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Finding the Third Proportional to 75,189 and 155,148

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Solution

The third proportional to 75,189 and 155,148 is: 320,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189 : 155,148 = 155,148 : x
  2. Step 2: Convert to fraction form
    75,189/155,148 = 155,148/x
  3. Step 3: Cross multiply
    75,189x = 155,148 × 155,148
  4. Step 4: Simplify right side
    75,189x = 24,070,901,904
  5. Step 5: Solve for x
    x = 24,070,901,904/75,189
  6. Step 6: Final answer
    x = 320,138.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.