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Finding the Third Proportional to 211,823 and 296,274

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Solution

The third proportional to 211,823 and 296,274 is: 414,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,823 : 296,274 = 296,274 : x
  2. Step 2: Convert to fraction form
    211,823/296,274 = 296,274/x
  3. Step 3: Cross multiply
    211,823x = 296,274 × 296,274
  4. Step 4: Simplify right side
    211,823x = 87,778,283,076
  5. Step 5: Solve for x
    x = 87,778,283,076/211,823
  6. Step 6: Final answer
    x = 414,394.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.