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Finding the Third Proportional to 220,858 and 294,255

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Solution

The third proportional to 220,858 and 294,255 is: 392,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,858 : 294,255 = 294,255 : x
  2. Step 2: Convert to fraction form
    220,858/294,255 = 294,255/x
  3. Step 3: Cross multiply
    220,858x = 294,255 × 294,255
  4. Step 4: Simplify right side
    220,858x = 86,586,005,025
  5. Step 5: Solve for x
    x = 86,586,005,025/220,858
  6. Step 6: Final answer
    x = 392,043.78

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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.