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Finding the Third Proportional to 411,936 and 902,604

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Solution

The third proportional to 411,936 and 902,604 is: 1,977,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,936 : 902,604 = 902,604 : x
  2. Step 2: Convert to fraction form
    411,936/902,604 = 902,604/x
  3. Step 3: Cross multiply
    411,936x = 902,604 × 902,604
  4. Step 4: Simplify right side
    411,936x = 814,693,980,816
  5. Step 5: Solve for x
    x = 814,693,980,816/411,936
  6. Step 6: Final answer
    x = 1,977,719.79

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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.