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Finding the Third Proportional to 305,459 and 671,016

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Solution

The third proportional to 305,459 and 671,016 is: 1,474,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,459 : 671,016 = 671,016 : x
  2. Step 2: Convert to fraction form
    305,459/671,016 = 671,016/x
  3. Step 3: Cross multiply
    305,459x = 671,016 × 671,016
  4. Step 4: Simplify right side
    305,459x = 450,262,472,256
  5. Step 5: Solve for x
    x = 450,262,472,256/305,459
  6. Step 6: Final answer
    x = 1,474,052.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.