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Finding the Third Proportional to 127,804 and 197,686

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Solution

The third proportional to 127,804 and 197,686 is: 305,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,804 : 197,686 = 197,686 : x
  2. Step 2: Convert to fraction form
    127,804/197,686 = 197,686/x
  3. Step 3: Cross multiply
    127,804x = 197,686 × 197,686
  4. Step 4: Simplify right side
    127,804x = 39,079,754,596
  5. Step 5: Solve for x
    x = 39,079,754,596/127,804
  6. Step 6: Final answer
    x = 305,778.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.