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Finding the Third Proportional to 214,908 and 331,383

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Solution

The third proportional to 214,908 and 331,383 is: 510,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908 : 331,383 = 331,383 : x
  2. Step 2: Convert to fraction form
    214,908/331,383 = 331,383/x
  3. Step 3: Cross multiply
    214,908x = 331,383 × 331,383
  4. Step 4: Simplify right side
    214,908x = 109,814,692,689
  5. Step 5: Solve for x
    x = 109,814,692,689/214,908
  6. Step 6: Final answer
    x = 510,984.67

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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.