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Finding the Third Proportional to 172,916 and 264,622

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Solution

The third proportional to 172,916 and 264,622 is: 404,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,916 : 264,622 = 264,622 : x
  2. Step 2: Convert to fraction form
    172,916/264,622 = 264,622/x
  3. Step 3: Cross multiply
    172,916x = 264,622 × 264,622
  4. Step 4: Simplify right side
    172,916x = 70,024,802,884
  5. Step 5: Solve for x
    x = 70,024,802,884/172,916
  6. Step 6: Final answer
    x = 404,964.28

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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.