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Finding the Third Proportional to 411,982 and 902,511

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Solution

The third proportional to 411,982 and 902,511 is: 1,977,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,982 : 902,511 = 902,511 : x
  2. Step 2: Convert to fraction form
    411,982/902,511 = 902,511/x
  3. Step 3: Cross multiply
    411,982x = 902,511 × 902,511
  4. Step 4: Simplify right side
    411,982x = 814,526,105,121
  5. Step 5: Solve for x
    x = 814,526,105,121/411,982
  6. Step 6: Final answer
    x = 1,977,091.49

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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.