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Finding the Third Proportional to 75,228 and 178,230

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Solution

The third proportional to 75,228 and 178,230 is: 422,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228 : 178,230 = 178,230 : x
  2. Step 2: Convert to fraction form
    75,228/178,230 = 178,230/x
  3. Step 3: Cross multiply
    75,228x = 178,230 × 178,230
  4. Step 4: Simplify right side
    75,228x = 31,765,932,900
  5. Step 5: Solve for x
    x = 31,765,932,900/75,228
  6. Step 6: Final answer
    x = 422,262.10

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.