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Finding the Third Proportional to 122,120 and 193,016

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Solution

The third proportional to 122,120 and 193,016 is: 305,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,120 : 193,016 = 193,016 : x
  2. Step 2: Convert to fraction form
    122,120/193,016 = 193,016/x
  3. Step 3: Cross multiply
    122,120x = 193,016 × 193,016
  4. Step 4: Simplify right side
    122,120x = 37,255,176,256
  5. Step 5: Solve for x
    x = 37,255,176,256/122,120
  6. Step 6: Final answer
    x = 305,070.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.