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Finding the Third Proportional to 144,674 and 313,405

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Solution

The third proportional to 144,674 and 313,405 is: 678,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,674 : 313,405 = 313,405 : x
  2. Step 2: Convert to fraction form
    144,674/313,405 = 313,405/x
  3. Step 3: Cross multiply
    144,674x = 313,405 × 313,405
  4. Step 4: Simplify right side
    144,674x = 98,222,694,025
  5. Step 5: Solve for x
    x = 98,222,694,025/144,674
  6. Step 6: Final answer
    x = 678,924.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.