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Finding the Third Proportional to 309,901 and 671,966

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Solution

The third proportional to 309,901 and 671,966 is: 1,457,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,901 : 671,966 = 671,966 : x
  2. Step 2: Convert to fraction form
    309,901/671,966 = 671,966/x
  3. Step 3: Cross multiply
    309,901x = 671,966 × 671,966
  4. Step 4: Simplify right side
    309,901x = 451,538,305,156
  5. Step 5: Solve for x
    x = 451,538,305,156/309,901
  6. Step 6: Final answer
    x = 1,457,040.49

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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.