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Finding the Third Proportional to 68,294 and 139,962

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Solution

The third proportional to 68,294 and 139,962 is: 286,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,294 : 139,962 = 139,962 : x
  2. Step 2: Convert to fraction form
    68,294/139,962 = 139,962/x
  3. Step 3: Cross multiply
    68,294x = 139,962 × 139,962
  4. Step 4: Simplify right side
    68,294x = 19,589,361,444
  5. Step 5: Solve for x
    x = 19,589,361,444/68,294
  6. Step 6: Final answer
    x = 286,838.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.