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Finding the Third Proportional to 150,905 and 319,799

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Solution

The third proportional to 150,905 and 319,799 is: 677,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,905 : 319,799 = 319,799 : x
  2. Step 2: Convert to fraction form
    150,905/319,799 = 319,799/x
  3. Step 3: Cross multiply
    150,905x = 319,799 × 319,799
  4. Step 4: Simplify right side
    150,905x = 102,271,400,401
  5. Step 5: Solve for x
    x = 102,271,400,401/150,905
  6. Step 6: Final answer
    x = 677,720.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.