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Finding the Third Proportional to 411,824 and 902,380

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Solution

The third proportional to 411,824 and 902,380 is: 1,977,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,824 : 902,380 = 902,380 : x
  2. Step 2: Convert to fraction form
    411,824/902,380 = 902,380/x
  3. Step 3: Cross multiply
    411,824x = 902,380 × 902,380
  4. Step 4: Simplify right side
    411,824x = 814,289,664,400
  5. Step 5: Solve for x
    x = 814,289,664,400/411,824
  6. Step 6: Final answer
    x = 1,977,275.89

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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.