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Finding the Third Proportional to 319,945 and 679,257

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Solution

The third proportional to 319,945 and 679,257 is: 1,442,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,945 : 679,257 = 679,257 : x
  2. Step 2: Convert to fraction form
    319,945/679,257 = 679,257/x
  3. Step 3: Cross multiply
    319,945x = 679,257 × 679,257
  4. Step 4: Simplify right side
    319,945x = 461,390,072,049
  5. Step 5: Solve for x
    x = 461,390,072,049/319,945
  6. Step 6: Final answer
    x = 1,442,091.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.