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Finding the Third Proportional to 199,408 and 440,272

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Solution

The third proportional to 199,408 and 440,272 is: 972,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,408 : 440,272 = 440,272 : x
  2. Step 2: Convert to fraction form
    199,408/440,272 = 440,272/x
  3. Step 3: Cross multiply
    199,408x = 440,272 × 440,272
  4. Step 4: Simplify right side
    199,408x = 193,839,433,984
  5. Step 5: Solve for x
    x = 193,839,433,984/199,408
  6. Step 6: Final answer
    x = 972,074.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.