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Finding the Third Proportional to 317,904 and 445,607

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Solution

The third proportional to 317,904 and 445,607 is: 624,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,904 : 445,607 = 445,607 : x
  2. Step 2: Convert to fraction form
    317,904/445,607 = 445,607/x
  3. Step 3: Cross multiply
    317,904x = 445,607 × 445,607
  4. Step 4: Simplify right side
    317,904x = 198,565,598,449
  5. Step 5: Solve for x
    x = 198,565,598,449/317,904
  6. Step 6: Final answer
    x = 624,608.68

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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.