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Finding the Third Proportional to 317,980 and 445,676

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Solution

The third proportional to 317,980 and 445,676 is: 624,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,980 : 445,676 = 445,676 : x
  2. Step 2: Convert to fraction form
    317,980/445,676 = 445,676/x
  3. Step 3: Cross multiply
    317,980x = 445,676 × 445,676
  4. Step 4: Simplify right side
    317,980x = 198,627,096,976
  5. Step 5: Solve for x
    x = 198,627,096,976/317,980
  6. Step 6: Final answer
    x = 624,652.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.