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Finding the Third Proportional to 213,924 and 328,846

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Solution

The third proportional to 213,924 and 328,846 is: 505,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,924 : 328,846 = 328,846 : x
  2. Step 2: Convert to fraction form
    213,924/328,846 = 328,846/x
  3. Step 3: Cross multiply
    213,924x = 328,846 × 328,846
  4. Step 4: Simplify right side
    213,924x = 108,139,691,716
  5. Step 5: Solve for x
    x = 108,139,691,716/213,924
  6. Step 6: Final answer
    x = 505,505.19

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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.