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Finding the Third Proportional to 273,560 and 419,900

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Solution

The third proportional to 273,560 and 419,900 is: 644,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,560 : 419,900 = 419,900 : x
  2. Step 2: Convert to fraction form
    273,560/419,900 = 419,900/x
  3. Step 3: Cross multiply
    273,560x = 419,900 × 419,900
  4. Step 4: Simplify right side
    273,560x = 176,316,010,000
  5. Step 5: Solve for x
    x = 176,316,010,000/273,560
  6. Step 6: Final answer
    x = 644,524.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.