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Finding the Third Proportional to 178,904 and 263,172

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Solution

The third proportional to 178,904 and 263,172 is: 387,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,904 : 263,172 = 263,172 : x
  2. Step 2: Convert to fraction form
    178,904/263,172 = 263,172/x
  3. Step 3: Cross multiply
    178,904x = 263,172 × 263,172
  4. Step 4: Simplify right side
    178,904x = 69,259,501,584
  5. Step 5: Solve for x
    x = 69,259,501,584/178,904
  6. Step 6: Final answer
    x = 387,132.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.