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Finding the Third Proportional to 140,084 and 311,272

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Solution

The third proportional to 140,084 and 311,272 is: 691,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,084 : 311,272 = 311,272 : x
  2. Step 2: Convert to fraction form
    140,084/311,272 = 311,272/x
  3. Step 3: Cross multiply
    140,084x = 311,272 × 311,272
  4. Step 4: Simplify right side
    140,084x = 96,890,257,984
  5. Step 5: Solve for x
    x = 96,890,257,984/140,084
  6. Step 6: Final answer
    x = 691,658.28

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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.