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Finding the Third Proportional to 220,780 and 350,171

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Solution

The third proportional to 220,780 and 350,171 is: 555,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,780 : 350,171 = 350,171 : x
  2. Step 2: Convert to fraction form
    220,780/350,171 = 350,171/x
  3. Step 3: Cross multiply
    220,780x = 350,171 × 350,171
  4. Step 4: Simplify right side
    220,780x = 122,619,729,241
  5. Step 5: Solve for x
    x = 122,619,729,241/220,780
  6. Step 6: Final answer
    x = 555,393.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.