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Finding the Third Proportional to 220,874 and 294,279

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Solution

The third proportional to 220,874 and 294,279 is: 392,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,874 : 294,279 = 294,279 : x
  2. Step 2: Convert to fraction form
    220,874/294,279 = 294,279/x
  3. Step 3: Cross multiply
    220,874x = 294,279 × 294,279
  4. Step 4: Simplify right side
    220,874x = 86,600,129,841
  5. Step 5: Solve for x
    x = 86,600,129,841/220,874
  6. Step 6: Final answer
    x = 392,079.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.