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Finding the Third Proportional to 65,308 and 136,268

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Solution

The third proportional to 65,308 and 136,268 is: 284,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308 : 136,268 = 136,268 : x
  2. Step 2: Convert to fraction form
    65,308/136,268 = 136,268/x
  3. Step 3: Cross multiply
    65,308x = 136,268 × 136,268
  4. Step 4: Simplify right side
    65,308x = 18,568,967,824
  5. Step 5: Solve for x
    x = 18,568,967,824/65,308
  6. Step 6: Final answer
    x = 284,329.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.