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Finding the Third Proportional to 172,922 and 264,631

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Solution

The third proportional to 172,922 and 264,631 is: 404,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,922 : 264,631 = 264,631 : x
  2. Step 2: Convert to fraction form
    172,922/264,631 = 264,631/x
  3. Step 3: Cross multiply
    172,922x = 264,631 × 264,631
  4. Step 4: Simplify right side
    172,922x = 70,029,566,161
  5. Step 5: Solve for x
    x = 70,029,566,161/172,922
  6. Step 6: Final answer
    x = 404,977.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.