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Finding the Third Proportional to 213,928 and 328,852

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Solution

The third proportional to 213,928 and 328,852 is: 505,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,928 : 328,852 = 328,852 : x
  2. Step 2: Convert to fraction form
    213,928/328,852 = 328,852/x
  3. Step 3: Cross multiply
    213,928x = 328,852 × 328,852
  4. Step 4: Simplify right side
    213,928x = 108,143,637,904
  5. Step 5: Solve for x
    x = 108,143,637,904/213,928
  6. Step 6: Final answer
    x = 505,514.18

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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.