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Finding the Third Proportional to 317,934 and 445,617

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Solution

The third proportional to 317,934 and 445,617 is: 624,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,934 : 445,617 = 445,617 : x
  2. Step 2: Convert to fraction form
    317,934/445,617 = 445,617/x
  3. Step 3: Cross multiply
    317,934x = 445,617 × 445,617
  4. Step 4: Simplify right side
    317,934x = 198,574,510,689
  5. Step 5: Solve for x
    x = 198,574,510,689/317,934
  6. Step 6: Final answer
    x = 624,577.78

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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.