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Finding the Third Proportional to 68,222 and 139,217

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Solution

The third proportional to 68,222 and 139,217 is: 284,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,222 : 139,217 = 139,217 : x
  2. Step 2: Convert to fraction form
    68,222/139,217 = 139,217/x
  3. Step 3: Cross multiply
    68,222x = 139,217 × 139,217
  4. Step 4: Simplify right side
    68,222x = 19,381,373,089
  5. Step 5: Solve for x
    x = 19,381,373,089/68,222
  6. Step 6: Final answer
    x = 284,092.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.