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Finding the Third Proportional to 68,346 and 140,094

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Solution

The third proportional to 68,346 and 140,094 is: 287,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,346 : 140,094 = 140,094 : x
  2. Step 2: Convert to fraction form
    68,346/140,094 = 140,094/x
  3. Step 3: Cross multiply
    68,346x = 140,094 × 140,094
  4. Step 4: Simplify right side
    68,346x = 19,626,328,836
  5. Step 5: Solve for x
    x = 19,626,328,836/68,346
  6. Step 6: Final answer
    x = 287,161.34

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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.