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Finding the Third Proportional to 138,402 and 214,059

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Solution

The third proportional to 138,402 and 214,059 is: 331,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,402 : 214,059 = 214,059 : x
  2. Step 2: Convert to fraction form
    138,402/214,059 = 214,059/x
  3. Step 3: Cross multiply
    138,402x = 214,059 × 214,059
  4. Step 4: Simplify right side
    138,402x = 45,821,255,481
  5. Step 5: Solve for x
    x = 45,821,255,481/138,402
  6. Step 6: Final answer
    x = 331,073.65

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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.