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Finding the Third Proportional to 639,620 and 1,408,024

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Solution

The third proportional to 639,620 and 1,408,024 is: 3,099,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,620 : 1,408,024 = 1,408,024 : x
  2. Step 2: Convert to fraction form
    639,620/1,408,024 = 1,408,024/x
  3. Step 3: Cross multiply
    639,620x = 1,408,024 × 1,408,024
  4. Step 4: Simplify right side
    639,620x = 1,982,531,584,576
  5. Step 5: Solve for x
    x = 1,982,531,584,576/639,620
  6. Step 6: Final answer
    x = 3,099,545.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.