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Finding the Third Proportional to 117,400 and 178,343

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Solution

The third proportional to 117,400 and 178,343 is: 270,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,400 : 178,343 = 178,343 : x
  2. Step 2: Convert to fraction form
    117,400/178,343 = 178,343/x
  3. Step 3: Cross multiply
    117,400x = 178,343 × 178,343
  4. Step 4: Simplify right side
    117,400x = 31,806,225,649
  5. Step 5: Solve for x
    x = 31,806,225,649/117,400
  6. Step 6: Final answer
    x = 270,921.85

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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.