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Finding the Third Proportional to 299,629.69 and 643,728.38

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Solution

The third proportional to 299,629.69 and 643,728.38 is: 1,382,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,629.69 : 643,728.38 = 643,728.38 : x
  2. Step 2: Convert to fraction form
    299,629.69/643,728.38 = 643,728.38/x
  3. Step 3: Cross multiply
    299,629.69x = 643,728.38 × 643,728.38
  4. Step 4: Simplify right side
    299,629.69x = 414,386,220,780.14
  5. Step 5: Solve for x
    x = 414,386,220,780.14/299,629.69
  6. Step 6: Final answer
    x = 1,382,994.54

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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.