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Finding the Third Proportional to 154,512 and 318,951

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Solution

The third proportional to 154,512 and 318,951 is: 658,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,512 : 318,951 = 318,951 : x
  2. Step 2: Convert to fraction form
    154,512/318,951 = 318,951/x
  3. Step 3: Cross multiply
    154,512x = 318,951 × 318,951
  4. Step 4: Simplify right side
    154,512x = 101,729,740,401
  5. Step 5: Solve for x
    x = 101,729,740,401/154,512
  6. Step 6: Final answer
    x = 658,393.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.