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Finding the Third Proportional to 317,745 and 699,462

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Solution

The third proportional to 317,745 and 699,462 is: 1,539,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,745 : 699,462 = 699,462 : x
  2. Step 2: Convert to fraction form
    317,745/699,462 = 699,462/x
  3. Step 3: Cross multiply
    317,745x = 699,462 × 699,462
  4. Step 4: Simplify right side
    317,745x = 489,247,089,444
  5. Step 5: Solve for x
    x = 489,247,089,444/317,745
  6. Step 6: Final answer
    x = 1,539,747.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.