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Finding the Third Proportional to 138,242 and 303,268

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Solution

The third proportional to 138,242 and 303,268 is: 665,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,242 : 303,268 = 303,268 : x
  2. Step 2: Convert to fraction form
    138,242/303,268 = 303,268/x
  3. Step 3: Cross multiply
    138,242x = 303,268 × 303,268
  4. Step 4: Simplify right side
    138,242x = 91,971,479,824
  5. Step 5: Solve for x
    x = 91,971,479,824/138,242
  6. Step 6: Final answer
    x = 665,293.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.