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Finding the Third Proportional to 112,163 and 172,401

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Solution

The third proportional to 112,163 and 172,401 is: 264,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,163 : 172,401 = 172,401 : x
  2. Step 2: Convert to fraction form
    112,163/172,401 = 172,401/x
  3. Step 3: Cross multiply
    112,163x = 172,401 × 172,401
  4. Step 4: Simplify right side
    112,163x = 29,722,104,801
  5. Step 5: Solve for x
    x = 29,722,104,801/112,163
  6. Step 6: Final answer
    x = 264,990.28

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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.