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Finding the Third Proportional to 140,094 and 311,292

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Solution

The third proportional to 140,094 and 311,292 is: 691,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,094 : 311,292 = 311,292 : x
  2. Step 2: Convert to fraction form
    140,094/311,292 = 311,292/x
  3. Step 3: Cross multiply
    140,094x = 311,292 × 311,292
  4. Step 4: Simplify right side
    140,094x = 96,902,709,264
  5. Step 5: Solve for x
    x = 96,902,709,264/140,094
  6. Step 6: Final answer
    x = 691,697.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.