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Finding the Third Proportional to 144,744 and 314,245

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Solution

The third proportional to 144,744 and 314,245 is: 682,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,744 : 314,245 = 314,245 : x
  2. Step 2: Convert to fraction form
    144,744/314,245 = 314,245/x
  3. Step 3: Cross multiply
    144,744x = 314,245 × 314,245
  4. Step 4: Simplify right side
    144,744x = 98,749,920,025
  5. Step 5: Solve for x
    x = 98,749,920,025/144,744
  6. Step 6: Final answer
    x = 682,238.43

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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.