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Finding the Third Proportional to 128,686 and 193,976

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Solution

The third proportional to 128,686 and 193,976 is: 292,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,686 : 193,976 = 193,976 : x
  2. Step 2: Convert to fraction form
    128,686/193,976 = 193,976/x
  3. Step 3: Cross multiply
    128,686x = 193,976 × 193,976
  4. Step 4: Simplify right side
    128,686x = 37,626,688,576
  5. Step 5: Solve for x
    x = 37,626,688,576/128,686
  6. Step 6: Final answer
    x = 292,391.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.