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Finding the Third Proportional to 122,152 and 178,851

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Solution

The third proportional to 122,152 and 178,851 is: 261,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,152 : 178,851 = 178,851 : x
  2. Step 2: Convert to fraction form
    122,152/178,851 = 178,851/x
  3. Step 3: Cross multiply
    122,152x = 178,851 × 178,851
  4. Step 4: Simplify right side
    122,152x = 31,987,680,201
  5. Step 5: Solve for x
    x = 31,987,680,201/122,152
  6. Step 6: Final answer
    x = 261,867.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.