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Finding the Third Proportional to 299,305 and 665,041

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Solution

The third proportional to 299,305 and 665,041 is: 1,477,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,305 : 665,041 = 665,041 : x
  2. Step 2: Convert to fraction form
    299,305/665,041 = 665,041/x
  3. Step 3: Cross multiply
    299,305x = 665,041 × 665,041
  4. Step 4: Simplify right side
    299,305x = 442,279,531,681
  5. Step 5: Solve for x
    x = 442,279,531,681/299,305
  6. Step 6: Final answer
    x = 1,477,688.42

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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.