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Finding the Third Proportional to 208,764 and 447,039

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Solution

The third proportional to 208,764 and 447,039 is: 957,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,764 : 447,039 = 447,039 : x
  2. Step 2: Convert to fraction form
    208,764/447,039 = 447,039/x
  3. Step 3: Cross multiply
    208,764x = 447,039 × 447,039
  4. Step 4: Simplify right side
    208,764x = 199,843,867,521
  5. Step 5: Solve for x
    x = 199,843,867,521/208,764
  6. Step 6: Final answer
    x = 957,271.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.