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Finding the Third Proportional to 411,828 and 902,388

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Solution

The third proportional to 411,828 and 902,388 is: 1,977,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,828 : 902,388 = 902,388 : x
  2. Step 2: Convert to fraction form
    411,828/902,388 = 902,388/x
  3. Step 3: Cross multiply
    411,828x = 902,388 × 902,388
  4. Step 4: Simplify right side
    411,828x = 814,304,102,544
  5. Step 5: Solve for x
    x = 814,304,102,544/411,828
  6. Step 6: Final answer
    x = 1,977,291.74

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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.