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Finding the Third Proportional to 214,905.75 and 331,380

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Solution

The third proportional to 214,905.75 and 331,380 is: 510,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,905.75 : 331,380 = 331,380 : x
  2. Step 2: Convert to fraction form
    214,905.75/331,380 = 331,380/x
  3. Step 3: Cross multiply
    214,905.75x = 331,380 × 331,380
  4. Step 4: Simplify right side
    214,905.75x = 109,812,704,400
  5. Step 5: Solve for x
    x = 109,812,704,400/214,905.75
  6. Step 6: Final answer
    x = 510,980.76

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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.