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Finding the Third Proportional to 68,546 and 139,000

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Solution

The third proportional to 68,546 and 139,000 is: 281,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,546 : 139,000 = 139,000 : x
  2. Step 2: Convert to fraction form
    68,546/139,000 = 139,000/x
  3. Step 3: Cross multiply
    68,546x = 139,000 × 139,000
  4. Step 4: Simplify right side
    68,546x = 19,321,000,000
  5. Step 5: Solve for x
    x = 19,321,000,000/68,546
  6. Step 6: Final answer
    x = 281,869.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.