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Finding the Third Proportional to 411,838 and 902,408

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Solution

The third proportional to 411,838 and 902,408 is: 1,977,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,838 : 902,408 = 902,408 : x
  2. Step 2: Convert to fraction form
    411,838/902,408 = 902,408/x
  3. Step 3: Cross multiply
    411,838x = 902,408 × 902,408
  4. Step 4: Simplify right side
    411,838x = 814,340,198,464
  5. Step 5: Solve for x
    x = 814,340,198,464/411,838
  6. Step 6: Final answer
    x = 1,977,331.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.