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Finding the Third Proportional to 122,056 and 162,912

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Solution

The third proportional to 122,056 and 162,912 is: 217,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,056 : 162,912 = 162,912 : x
  2. Step 2: Convert to fraction form
    122,056/162,912 = 162,912/x
  3. Step 3: Cross multiply
    122,056x = 162,912 × 162,912
  4. Step 4: Simplify right side
    122,056x = 26,540,319,744
  5. Step 5: Solve for x
    x = 26,540,319,744/122,056
  6. Step 6: Final answer
    x = 217,443.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.