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Finding the Third Proportional to 314,438 and 682,036

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Solution

The third proportional to 314,438 and 682,036 is: 1,479,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,438 : 682,036 = 682,036 : x
  2. Step 2: Convert to fraction form
    314,438/682,036 = 682,036/x
  3. Step 3: Cross multiply
    314,438x = 682,036 × 682,036
  4. Step 4: Simplify right side
    314,438x = 465,173,105,296
  5. Step 5: Solve for x
    x = 465,173,105,296/314,438
  6. Step 6: Final answer
    x = 1,479,379.42

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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.