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Finding the Third Proportional to 299,302 and 440,200

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Solution

The third proportional to 299,302 and 440,200 is: 647,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302 : 440,200 = 440,200 : x
  2. Step 2: Convert to fraction form
    299,302/440,200 = 440,200/x
  3. Step 3: Cross multiply
    299,302x = 440,200 × 440,200
  4. Step 4: Simplify right side
    299,302x = 193,776,040,000
  5. Step 5: Solve for x
    x = 193,776,040,000/299,302
  6. Step 6: Final answer
    x = 647,426.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.