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Finding the Third Proportional to 299,644.88 and 643,758

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Solution

The third proportional to 299,644.88 and 643,758 is: 1,383,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,644.88 : 643,758 = 643,758 : x
  2. Step 2: Convert to fraction form
    299,644.88/643,758 = 643,758/x
  3. Step 3: Cross multiply
    299,644.88x = 643,758 × 643,758
  4. Step 4: Simplify right side
    299,644.88x = 414,424,362,564
  5. Step 5: Solve for x
    x = 414,424,362,564/299,644.88
  6. Step 6: Final answer
    x = 1,383,051.73

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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.