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Finding the Third Proportional to 299,289 and 646,054

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Solution

The third proportional to 299,289 and 646,054 is: 1,394,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,289 : 646,054 = 646,054 : x
  2. Step 2: Convert to fraction form
    299,289/646,054 = 646,054/x
  3. Step 3: Cross multiply
    299,289x = 646,054 × 646,054
  4. Step 4: Simplify right side
    299,289x = 417,385,770,916
  5. Step 5: Solve for x
    x = 417,385,770,916/299,289
  6. Step 6: Final answer
    x = 1,394,591.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.