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Finding the Third Proportional to 68,268 and 141,272

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Solution

The third proportional to 68,268 and 141,272 is: 292,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,268 : 141,272 = 141,272 : x
  2. Step 2: Convert to fraction form
    68,268/141,272 = 141,272/x
  3. Step 3: Cross multiply
    68,268x = 141,272 × 141,272
  4. Step 4: Simplify right side
    68,268x = 19,957,777,984
  5. Step 5: Solve for x
    x = 19,957,777,984/68,268
  6. Step 6: Final answer
    x = 292,344.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.