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Finding the Third Proportional to 122,176 and 178,897

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Solution

The third proportional to 122,176 and 178,897 is: 261,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,176 : 178,897 = 178,897 : x
  2. Step 2: Convert to fraction form
    122,176/178,897 = 178,897/x
  3. Step 3: Cross multiply
    122,176x = 178,897 × 178,897
  4. Step 4: Simplify right side
    122,176x = 32,004,136,609
  5. Step 5: Solve for x
    x = 32,004,136,609/122,176
  6. Step 6: Final answer
    x = 261,951.09

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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.