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Finding the Third Proportional to 138,144 and 214,128

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Solution

The third proportional to 138,144 and 214,128 is: 331,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144 : 214,128 = 214,128 : x
  2. Step 2: Convert to fraction form
    138,144/214,128 = 214,128/x
  3. Step 3: Cross multiply
    138,144x = 214,128 × 214,128
  4. Step 4: Simplify right side
    138,144x = 45,850,800,384
  5. Step 5: Solve for x
    x = 45,850,800,384/138,144
  6. Step 6: Final answer
    x = 331,905.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.