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Finding the Third Proportional to 138,672 and 214,245

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Solution

The third proportional to 138,672 and 214,245 is: 331,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672 : 214,245 = 214,245 : x
  2. Step 2: Convert to fraction form
    138,672/214,245 = 214,245/x
  3. Step 3: Cross multiply
    138,672x = 214,245 × 214,245
  4. Step 4: Simplify right side
    138,672x = 45,900,920,025
  5. Step 5: Solve for x
    x = 45,900,920,025/138,672
  6. Step 6: Final answer
    x = 331,003.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.