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Finding the Third Proportional to 68,284 and 143,000

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Solution

The third proportional to 68,284 and 143,000 is: 299,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284 : 143,000 = 143,000 : x
  2. Step 2: Convert to fraction form
    68,284/143,000 = 143,000/x
  3. Step 3: Cross multiply
    68,284x = 143,000 × 143,000
  4. Step 4: Simplify right side
    68,284x = 20,449,000,000
  5. Step 5: Solve for x
    x = 20,449,000,000/68,284
  6. Step 6: Final answer
    x = 299,469.86

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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.