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Finding the Third Proportional to 131,998 and 311,272

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Solution

The third proportional to 131,998 and 311,272 is: 734,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,998 : 311,272 = 311,272 : x
  2. Step 2: Convert to fraction form
    131,998/311,272 = 311,272/x
  3. Step 3: Cross multiply
    131,998x = 311,272 × 311,272
  4. Step 4: Simplify right side
    131,998x = 96,890,257,984
  5. Step 5: Solve for x
    x = 96,890,257,984/131,998
  6. Step 6: Final answer
    x = 734,028.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.