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Finding the Third Proportional to 68,380 and 143,670

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Solution

The third proportional to 68,380 and 143,670 is: 301,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,380 : 143,670 = 143,670 : x
  2. Step 2: Convert to fraction form
    68,380/143,670 = 143,670/x
  3. Step 3: Cross multiply
    68,380x = 143,670 × 143,670
  4. Step 4: Simplify right side
    68,380x = 20,641,068,900
  5. Step 5: Solve for x
    x = 20,641,068,900/68,380
  6. Step 6: Final answer
    x = 301,858.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.