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Finding the Third Proportional to 213,923 and 328,844

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Solution

The third proportional to 213,923 and 328,844 is: 505,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,923 : 328,844 = 328,844 : x
  2. Step 2: Convert to fraction form
    213,923/328,844 = 328,844/x
  3. Step 3: Cross multiply
    213,923x = 328,844 × 328,844
  4. Step 4: Simplify right side
    213,923x = 108,138,376,336
  5. Step 5: Solve for x
    x = 108,138,376,336/213,923
  6. Step 6: Final answer
    x = 505,501.40

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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.