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Finding the Third Proportional to 220,872 and 294,276

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Solution

The third proportional to 220,872 and 294,276 is: 392,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,872 : 294,276 = 294,276 : x
  2. Step 2: Convert to fraction form
    220,872/294,276 = 294,276/x
  3. Step 3: Cross multiply
    220,872x = 294,276 × 294,276
  4. Step 4: Simplify right side
    220,872x = 86,598,364,176
  5. Step 5: Solve for x
    x = 86,598,364,176/220,872
  6. Step 6: Final answer
    x = 392,074.89

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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.