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Finding the Third Proportional to 68,398 and 141,286

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Solution

The third proportional to 68,398 and 141,286 is: 291,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,398 : 141,286 = 141,286 : x
  2. Step 2: Convert to fraction form
    68,398/141,286 = 141,286/x
  3. Step 3: Cross multiply
    68,398x = 141,286 × 141,286
  4. Step 4: Simplify right side
    68,398x = 19,961,733,796
  5. Step 5: Solve for x
    x = 19,961,733,796/68,398
  6. Step 6: Final answer
    x = 291,846.75

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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.