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Finding the Third Proportional to 217,745 and 331,385

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Solution

The third proportional to 217,745 and 331,385 is: 504,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,745 : 331,385 = 331,385 : x
  2. Step 2: Convert to fraction form
    217,745/331,385 = 331,385/x
  3. Step 3: Cross multiply
    217,745x = 331,385 × 331,385
  4. Step 4: Simplify right side
    217,745x = 109,816,018,225
  5. Step 5: Solve for x
    x = 109,816,018,225/217,745
  6. Step 6: Final answer
    x = 504,333.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.