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Finding the Third Proportional to 273,699 and 419,863.50

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Solution

The third proportional to 273,699 and 419,863.50 is: 644,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,699 : 419,863.50 = 419,863.50 : x
  2. Step 2: Convert to fraction form
    273,699/419,863.50 = 419,863.50/x
  3. Step 3: Cross multiply
    273,699x = 419,863.50 × 419,863.50
  4. Step 4: Simplify right side
    273,699x = 176,285,358,632.25
  5. Step 5: Solve for x
    x = 176,285,358,632.25/273,699
  6. Step 6: Final answer
    x = 644,084.77

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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.