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Finding the Third Proportional to 273,570 and 419,915

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Solution

The third proportional to 273,570 and 419,915 is: 644,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,570 : 419,915 = 419,915 : x
  2. Step 2: Convert to fraction form
    273,570/419,915 = 419,915/x
  3. Step 3: Cross multiply
    273,570x = 419,915 × 419,915
  4. Step 4: Simplify right side
    273,570x = 176,328,607,225
  5. Step 5: Solve for x
    x = 176,328,607,225/273,570
  6. Step 6: Final answer
    x = 644,546.58

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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.