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Finding the Third Proportional to 55,177 and 118,129

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Solution

The third proportional to 55,177 and 118,129 is: 252,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177 : 118,129 = 118,129 : x
  2. Step 2: Convert to fraction form
    55,177/118,129 = 118,129/x
  3. Step 3: Cross multiply
    55,177x = 118,129 × 118,129
  4. Step 4: Simplify right side
    55,177x = 13,954,460,641
  5. Step 5: Solve for x
    x = 13,954,460,641/55,177
  6. Step 6: Final answer
    x = 252,903.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.