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Finding the Third Proportional to 213,932 and 328,858

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Solution

The third proportional to 213,932 and 328,858 is: 505,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,932 : 328,858 = 328,858 : x
  2. Step 2: Convert to fraction form
    213,932/328,858 = 328,858/x
  3. Step 3: Cross multiply
    213,932x = 328,858 × 328,858
  4. Step 4: Simplify right side
    213,932x = 108,147,584,164
  5. Step 5: Solve for x
    x = 108,147,584,164/213,932
  6. Step 6: Final answer
    x = 505,523.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.