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Finding the Third Proportional to 318,086 and 685,992

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Solution

The third proportional to 318,086 and 685,992 is: 1,479,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,086 : 685,992 = 685,992 : x
  2. Step 2: Convert to fraction form
    318,086/685,992 = 685,992/x
  3. Step 3: Cross multiply
    318,086x = 685,992 × 685,992
  4. Step 4: Simplify right side
    318,086x = 470,585,024,064
  5. Step 5: Solve for x
    x = 470,585,024,064/318,086
  6. Step 6: Final answer
    x = 1,479,427.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.