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Finding the Third Proportional to 150,917 and 318,970

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Solution

The third proportional to 150,917 and 318,970 is: 674,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,917 : 318,970 = 318,970 : x
  2. Step 2: Convert to fraction form
    150,917/318,970 = 318,970/x
  3. Step 3: Cross multiply
    150,917x = 318,970 × 318,970
  4. Step 4: Simplify right side
    150,917x = 101,741,860,900
  5. Step 5: Solve for x
    x = 101,741,860,900/150,917
  6. Step 6: Final answer
    x = 674,157.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.