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Finding the Third Proportional to 117,408 and 178,353

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Solution

The third proportional to 117,408 and 178,353 is: 270,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,408 : 178,353 = 178,353 : x
  2. Step 2: Convert to fraction form
    117,408/178,353 = 178,353/x
  3. Step 3: Cross multiply
    117,408x = 178,353 × 178,353
  4. Step 4: Simplify right side
    117,408x = 31,809,792,609
  5. Step 5: Solve for x
    x = 31,809,792,609/117,408
  6. Step 6: Final answer
    x = 270,933.77

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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.