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Finding the Third Proportional to 273,469 and 419,780

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Solution

The third proportional to 273,469 and 419,780 is: 644,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,469 : 419,780 = 419,780 : x
  2. Step 2: Convert to fraction form
    273,469/419,780 = 419,780/x
  3. Step 3: Cross multiply
    273,469x = 419,780 × 419,780
  4. Step 4: Simplify right side
    273,469x = 176,215,248,400
  5. Step 5: Solve for x
    x = 176,215,248,400/273,469
  6. Step 6: Final answer
    x = 644,370.11

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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.