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Finding the Third Proportional to 299,239 and 639,949

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Solution

The third proportional to 299,239 and 639,949 is: 1,368,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,239 : 639,949 = 639,949 : x
  2. Step 2: Convert to fraction form
    299,239/639,949 = 639,949/x
  3. Step 3: Cross multiply
    299,239x = 639,949 × 639,949
  4. Step 4: Simplify right side
    299,239x = 409,534,722,601
  5. Step 5: Solve for x
    x = 409,534,722,601/299,239
  6. Step 6: Final answer
    x = 1,368,587.39

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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.