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Finding the Third Proportional to 217,056 and 339,474

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Solution

The third proportional to 217,056 and 339,474 is: 530,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,056 : 339,474 = 339,474 : x
  2. Step 2: Convert to fraction form
    217,056/339,474 = 339,474/x
  3. Step 3: Cross multiply
    217,056x = 339,474 × 339,474
  4. Step 4: Simplify right side
    217,056x = 115,242,596,676
  5. Step 5: Solve for x
    x = 115,242,596,676/217,056
  6. Step 6: Final answer
    x = 530,934.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.