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Finding the Third Proportional to 411,520 and 901,824

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Solution

The third proportional to 411,520 and 901,824 is: 1,976,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,520 : 901,824 = 901,824 : x
  2. Step 2: Convert to fraction form
    411,520/901,824 = 901,824/x
  3. Step 3: Cross multiply
    411,520x = 901,824 × 901,824
  4. Step 4: Simplify right side
    411,520x = 813,286,526,976
  5. Step 5: Solve for x
    x = 813,286,526,976/411,520
  6. Step 6: Final answer
    x = 1,976,298.91

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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.