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Finding the Third Proportional to 272,329 and 419,977

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Solution

The third proportional to 272,329 and 419,977 is: 647,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,329 : 419,977 = 419,977 : x
  2. Step 2: Convert to fraction form
    272,329/419,977 = 419,977/x
  3. Step 3: Cross multiply
    272,329x = 419,977 × 419,977
  4. Step 4: Simplify right side
    272,329x = 176,380,680,529
  5. Step 5: Solve for x
    x = 176,380,680,529/272,329
  6. Step 6: Final answer
    x = 647,674.98

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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.