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Finding the Third Proportional to 300,980 and 653,824

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Solution

The third proportional to 300,980 and 653,824 is: 1,420,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,980 : 653,824 = 653,824 : x
  2. Step 2: Convert to fraction form
    300,980/653,824 = 653,824/x
  3. Step 3: Cross multiply
    300,980x = 653,824 × 653,824
  4. Step 4: Simplify right side
    300,980x = 427,485,822,976
  5. Step 5: Solve for x
    x = 427,485,822,976/300,980
  6. Step 6: Final answer
    x = 1,420,313.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.