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Finding the Third Proportional to 75,640 and 108,268

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Solution

The third proportional to 75,640 and 108,268 is: 154,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640 : 108,268 = 108,268 : x
  2. Step 2: Convert to fraction form
    75,640/108,268 = 108,268/x
  3. Step 3: Cross multiply
    75,640x = 108,268 × 108,268
  4. Step 4: Simplify right side
    75,640x = 11,721,959,824
  5. Step 5: Solve for x
    x = 11,721,959,824/75,640
  6. Step 6: Final answer
    x = 154,970.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.