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Finding the Third Proportional to 178,756 and 369,885

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Solution

The third proportional to 178,756 and 369,885 is: 765,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,756 : 369,885 = 369,885 : x
  2. Step 2: Convert to fraction form
    178,756/369,885 = 369,885/x
  3. Step 3: Cross multiply
    178,756x = 369,885 × 369,885
  4. Step 4: Simplify right side
    178,756x = 136,814,913,225
  5. Step 5: Solve for x
    x = 136,814,913,225/178,756
  6. Step 6: Final answer
    x = 765,372.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.