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Finding the Third Proportional to 317,918 and 445,593

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Solution

The third proportional to 317,918 and 445,593 is: 624,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,918 : 445,593 = 445,593 : x
  2. Step 2: Convert to fraction form
    317,918/445,593 = 445,593/x
  3. Step 3: Cross multiply
    317,918x = 445,593 × 445,593
  4. Step 4: Simplify right side
    317,918x = 198,553,121,649
  5. Step 5: Solve for x
    x = 198,553,121,649/317,918
  6. Step 6: Final answer
    x = 624,541.93

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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.