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Finding the Third Proportional to 55,906 and 122,180

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Solution

The third proportional to 55,906 and 122,180 is: 267,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906 : 122,180 = 122,180 : x
  2. Step 2: Convert to fraction form
    55,906/122,180 = 122,180/x
  3. Step 3: Cross multiply
    55,906x = 122,180 × 122,180
  4. Step 4: Simplify right side
    55,906x = 14,927,952,400
  5. Step 5: Solve for x
    x = 14,927,952,400/55,906
  6. Step 6: Final answer
    x = 267,018.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.