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Finding the Third Proportional to 220,871 and 350,305

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Solution

The third proportional to 220,871 and 350,305 is: 555,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,871 : 350,305 = 350,305 : x
  2. Step 2: Convert to fraction form
    220,871/350,305 = 350,305/x
  3. Step 3: Cross multiply
    220,871x = 350,305 × 350,305
  4. Step 4: Simplify right side
    220,871x = 122,713,593,025
  5. Step 5: Solve for x
    x = 122,713,593,025/220,871
  6. Step 6: Final answer
    x = 555,589.43

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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.