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Finding the Third Proportional to 273,882 and 408,987

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Solution

The third proportional to 273,882 and 408,987 is: 610,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,882 : 408,987 = 408,987 : x
  2. Step 2: Convert to fraction form
    273,882/408,987 = 408,987/x
  3. Step 3: Cross multiply
    273,882x = 408,987 × 408,987
  4. Step 4: Simplify right side
    273,882x = 167,270,366,169
  5. Step 5: Solve for x
    x = 167,270,366,169/273,882
  6. Step 6: Final answer
    x = 610,738.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.