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Finding the Third Proportional to 138,146 and 214,131

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Solution

The third proportional to 138,146 and 214,131 is: 331,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146 : 214,131 = 214,131 : x
  2. Step 2: Convert to fraction form
    138,146/214,131 = 214,131/x
  3. Step 3: Cross multiply
    138,146x = 214,131 × 214,131
  4. Step 4: Simplify right side
    138,146x = 45,852,085,161
  5. Step 5: Solve for x
    x = 45,852,085,161/138,146
  6. Step 6: Final answer
    x = 331,910.34

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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.