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Finding the Third Proportional to 633,489 and 1,408,638

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Solution

The third proportional to 633,489 and 1,408,638 is: 3,132,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,489 : 1,408,638 = 1,408,638 : x
  2. Step 2: Convert to fraction form
    633,489/1,408,638 = 1,408,638/x
  3. Step 3: Cross multiply
    633,489x = 1,408,638 × 1,408,638
  4. Step 4: Simplify right side
    633,489x = 1,984,261,015,044
  5. Step 5: Solve for x
    x = 1,984,261,015,044/633,489
  6. Step 6: Final answer
    x = 3,132,273.83

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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.