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Finding the Third Proportional to 326,172 and 518,906

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Solution

The third proportional to 326,172 and 518,906 is: 825,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,172 : 518,906 = 518,906 : x
  2. Step 2: Convert to fraction form
    326,172/518,906 = 518,906/x
  3. Step 3: Cross multiply
    326,172x = 518,906 × 518,906
  4. Step 4: Simplify right side
    326,172x = 269,263,436,836
  5. Step 5: Solve for x
    x = 269,263,436,836/326,172
  6. Step 6: Final answer
    x = 825,525.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.