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Finding the Third Proportional to 213,928 and 328,850

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Solution

The third proportional to 213,928 and 328,850 is: 505,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,928 : 328,850 = 328,850 : x
  2. Step 2: Convert to fraction form
    213,928/328,850 = 328,850/x
  3. Step 3: Cross multiply
    213,928x = 328,850 × 328,850
  4. Step 4: Simplify right side
    213,928x = 108,142,322,500
  5. Step 5: Solve for x
    x = 108,142,322,500/213,928
  6. Step 6: Final answer
    x = 505,508.03

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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.