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Finding the Third Proportional to 208,129.50 and 447,879.38

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Solution

The third proportional to 208,129.50 and 447,879.38 is: 963,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.50 : 447,879.38 = 447,879.38 : x
  2. Step 2: Convert to fraction form
    208,129.50/447,879.38 = 447,879.38/x
  3. Step 3: Cross multiply
    208,129.50x = 447,879.38 × 447,879.38
  4. Step 4: Simplify right side
    208,129.50x = 200,595,934,550.39
  5. Step 5: Solve for x
    x = 200,595,934,550.39/208,129.50
  6. Step 6: Final answer
    x = 963,803.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.