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Finding the Third Proportional to 68,256 and 141,216

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Solution

The third proportional to 68,256 and 141,216 is: 292,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,256 : 141,216 = 141,216 : x
  2. Step 2: Convert to fraction form
    68,256/141,216 = 141,216/x
  3. Step 3: Cross multiply
    68,256x = 141,216 × 141,216
  4. Step 4: Simplify right side
    68,256x = 19,941,958,656
  5. Step 5: Solve for x
    x = 19,941,958,656/68,256
  6. Step 6: Final answer
    x = 292,164.19

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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.