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Finding the Third Proportional to 306,619 and 670,238

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Solution

The third proportional to 306,619 and 670,238 is: 1,465,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,619 : 670,238 = 670,238 : x
  2. Step 2: Convert to fraction form
    306,619/670,238 = 670,238/x
  3. Step 3: Cross multiply
    306,619x = 670,238 × 670,238
  4. Step 4: Simplify right side
    306,619x = 449,218,976,644
  5. Step 5: Solve for x
    x = 449,218,976,644/306,619
  6. Step 6: Final answer
    x = 1,465,072.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.