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Finding the Third Proportional to 213,919 and 328,837

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Solution

The third proportional to 213,919 and 328,837 is: 505,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,919 : 328,837 = 328,837 : x
  2. Step 2: Convert to fraction form
    213,919/328,837 = 328,837/x
  3. Step 3: Cross multiply
    213,919x = 328,837 × 328,837
  4. Step 4: Simplify right side
    213,919x = 108,133,772,569
  5. Step 5: Solve for x
    x = 108,133,772,569/213,919
  6. Step 6: Final answer
    x = 505,489.33

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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.