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Finding the Third Proportional to 128,198 and 171,417

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Solution

The third proportional to 128,198 and 171,417 is: 229,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,198 : 171,417 = 171,417 : x
  2. Step 2: Convert to fraction form
    128,198/171,417 = 171,417/x
  3. Step 3: Cross multiply
    128,198x = 171,417 × 171,417
  4. Step 4: Simplify right side
    128,198x = 29,383,787,889
  5. Step 5: Solve for x
    x = 29,383,787,889/128,198
  6. Step 6: Final answer
    x = 229,206.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.