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Finding the Third Proportional to 299,309 and 665,049

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Solution

The third proportional to 299,309 and 665,049 is: 1,477,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,309 : 665,049 = 665,049 : x
  2. Step 2: Convert to fraction form
    299,309/665,049 = 665,049/x
  3. Step 3: Cross multiply
    299,309x = 665,049 × 665,049
  4. Step 4: Simplify right side
    299,309x = 442,290,172,401
  5. Step 5: Solve for x
    x = 442,290,172,401/299,309
  6. Step 6: Final answer
    x = 1,477,704.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.