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Finding the Third Proportional to 215,823 and 326,745

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Solution

The third proportional to 215,823 and 326,745 is: 494,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,823 : 326,745 = 326,745 : x
  2. Step 2: Convert to fraction form
    215,823/326,745 = 326,745/x
  3. Step 3: Cross multiply
    215,823x = 326,745 × 326,745
  4. Step 4: Simplify right side
    215,823x = 106,762,295,025
  5. Step 5: Solve for x
    x = 106,762,295,025/215,823
  6. Step 6: Final answer
    x = 494,675.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.