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Finding the Third Proportional to 122,726 and 193,979

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Solution

The third proportional to 122,726 and 193,979 is: 306,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726 : 193,979 = 193,979 : x
  2. Step 2: Convert to fraction form
    122,726/193,979 = 193,979/x
  3. Step 3: Cross multiply
    122,726x = 193,979 × 193,979
  4. Step 4: Simplify right side
    122,726x = 37,627,852,441
  5. Step 5: Solve for x
    x = 37,627,852,441/122,726
  6. Step 6: Final answer
    x = 306,600.50

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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.