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Finding the Third Proportional to 299,664 and 643,796

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Solution

The third proportional to 299,664 and 643,796 is: 1,383,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,664 : 643,796 = 643,796 : x
  2. Step 2: Convert to fraction form
    299,664/643,796 = 643,796/x
  3. Step 3: Cross multiply
    299,664x = 643,796 × 643,796
  4. Step 4: Simplify right side
    299,664x = 414,473,289,616
  5. Step 5: Solve for x
    x = 414,473,289,616/299,664
  6. Step 6: Final answer
    x = 1,383,126.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.