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Finding the Third Proportional to 314,969 and 682,425

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Solution

The third proportional to 314,969 and 682,425 is: 1,478,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,969 : 682,425 = 682,425 : x
  2. Step 2: Convert to fraction form
    314,969/682,425 = 682,425/x
  3. Step 3: Cross multiply
    314,969x = 682,425 × 682,425
  4. Step 4: Simplify right side
    314,969x = 465,703,880,625
  5. Step 5: Solve for x
    x = 465,703,880,625/314,969
  6. Step 6: Final answer
    x = 1,478,570.53

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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.