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Finding the Third Proportional to 172,710 and 263,243

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Solution

The third proportional to 172,710 and 263,243 is: 401,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,710 : 263,243 = 263,243 : x
  2. Step 2: Convert to fraction form
    172,710/263,243 = 263,243/x
  3. Step 3: Cross multiply
    172,710x = 263,243 × 263,243
  4. Step 4: Simplify right side
    172,710x = 69,296,877,049
  5. Step 5: Solve for x
    x = 69,296,877,049/172,710
  6. Step 6: Final answer
    x = 401,232.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.