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Finding the Third Proportional to 311,172.75 and 678,894.75

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Solution

The third proportional to 311,172.75 and 678,894.75 is: 1,481,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,172.75 : 678,894.75 = 678,894.75 : x
  2. Step 2: Convert to fraction form
    311,172.75/678,894.75 = 678,894.75/x
  3. Step 3: Cross multiply
    311,172.75x = 678,894.75 × 678,894.75
  4. Step 4: Simplify right side
    311,172.75x = 460,898,081,577.56
  5. Step 5: Solve for x
    x = 460,898,081,577.56/311,172.75
  6. Step 6: Final answer
    x = 1,481,164.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.