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Finding the Third Proportional to 214,909 and 331,385

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Solution

The third proportional to 214,909 and 331,385 is: 510,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,909 : 331,385 = 331,385 : x
  2. Step 2: Convert to fraction form
    214,909/331,385 = 331,385/x
  3. Step 3: Cross multiply
    214,909x = 331,385 × 331,385
  4. Step 4: Simplify right side
    214,909x = 109,816,018,225
  5. Step 5: Solve for x
    x = 109,816,018,225/214,909
  6. Step 6: Final answer
    x = 510,988.46

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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.