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Finding the Third Proportional to 178,243 and 259,338

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Solution

The third proportional to 178,243 and 259,338 is: 377,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,243 : 259,338 = 259,338 : x
  2. Step 2: Convert to fraction form
    178,243/259,338 = 259,338/x
  3. Step 3: Cross multiply
    178,243x = 259,338 × 259,338
  4. Step 4: Simplify right side
    178,243x = 67,256,198,244
  5. Step 5: Solve for x
    x = 67,256,198,244/178,243
  6. Step 6: Final answer
    x = 377,328.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.