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Finding the Third Proportional to 309,257 and 670,993

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Solution

The third proportional to 309,257 and 670,993 is: 1,455,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,257 : 670,993 = 670,993 : x
  2. Step 2: Convert to fraction form
    309,257/670,993 = 670,993/x
  3. Step 3: Cross multiply
    309,257x = 670,993 × 670,993
  4. Step 4: Simplify right side
    309,257x = 450,231,606,049
  5. Step 5: Solve for x
    x = 450,231,606,049/309,257
  6. Step 6: Final answer
    x = 1,455,849.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.