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Finding the Third Proportional to 144,616 and 311,431

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Solution

The third proportional to 144,616 and 311,431 is: 670,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,616 : 311,431 = 311,431 : x
  2. Step 2: Convert to fraction form
    144,616/311,431 = 311,431/x
  3. Step 3: Cross multiply
    144,616x = 311,431 × 311,431
  4. Step 4: Simplify right side
    144,616x = 96,989,267,761
  5. Step 5: Solve for x
    x = 96,989,267,761/144,616
  6. Step 6: Final answer
    x = 670,667.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.