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Finding the Third Proportional to 122,380 and 188,242

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Solution

The third proportional to 122,380 and 188,242 is: 289,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,380 : 188,242 = 188,242 : x
  2. Step 2: Convert to fraction form
    122,380/188,242 = 188,242/x
  3. Step 3: Cross multiply
    122,380x = 188,242 × 188,242
  4. Step 4: Simplify right side
    122,380x = 35,435,050,564
  5. Step 5: Solve for x
    x = 35,435,050,564/122,380
  6. Step 6: Final answer
    x = 289,549.36

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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.