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Finding the Third Proportional to 227,679 and 339,673

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Solution

The third proportional to 227,679 and 339,673 is: 506,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,679 : 339,673 = 339,673 : x
  2. Step 2: Convert to fraction form
    227,679/339,673 = 339,673/x
  3. Step 3: Cross multiply
    227,679x = 339,673 × 339,673
  4. Step 4: Simplify right side
    227,679x = 115,377,746,929
  5. Step 5: Solve for x
    x = 115,377,746,929/227,679
  6. Step 6: Final answer
    x = 506,756.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.