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Finding the Third Proportional to 299,625.38 and 641,897.25

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Solution

The third proportional to 299,625.38 and 641,897.25 is: 1,375,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,625.38 : 641,897.25 = 641,897.25 : x
  2. Step 2: Convert to fraction form
    299,625.38/641,897.25 = 641,897.25/x
  3. Step 3: Cross multiply
    299,625.38x = 641,897.25 × 641,897.25
  4. Step 4: Simplify right side
    299,625.38x = 412,032,079,557.56
  5. Step 5: Solve for x
    x = 412,032,079,557.56/299,625.38
  6. Step 6: Final answer
    x = 1,375,157.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.