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Finding the Third Proportional to 305,456 and 671,133

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Solution

The third proportional to 305,456 and 671,133 is: 1,474,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,456 : 671,133 = 671,133 : x
  2. Step 2: Convert to fraction form
    305,456/671,133 = 671,133/x
  3. Step 3: Cross multiply
    305,456x = 671,133 × 671,133
  4. Step 4: Simplify right side
    305,456x = 450,419,503,689
  5. Step 5: Solve for x
    x = 450,419,503,689/305,456
  6. Step 6: Final answer
    x = 1,474,580.64

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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.