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Finding the Third Proportional to 122,288 and 188,190

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Solution

The third proportional to 122,288 and 188,190 is: 289,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,288 : 188,190 = 188,190 : x
  2. Step 2: Convert to fraction form
    122,288/188,190 = 188,190/x
  3. Step 3: Cross multiply
    122,288x = 188,190 × 188,190
  4. Step 4: Simplify right side
    122,288x = 35,415,476,100
  5. Step 5: Solve for x
    x = 35,415,476,100/122,288
  6. Step 6: Final answer
    x = 289,607.12

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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.