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Finding the Third Proportional to 217,989 and 295,879.50

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Solution

The third proportional to 217,989 and 295,879.50 is: 401,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,989 : 295,879.50 = 295,879.50 : x
  2. Step 2: Convert to fraction form
    217,989/295,879.50 = 295,879.50/x
  3. Step 3: Cross multiply
    217,989x = 295,879.50 × 295,879.50
  4. Step 4: Simplify right side
    217,989x = 87,544,678,520.25
  5. Step 5: Solve for x
    x = 87,544,678,520.25/217,989
  6. Step 6: Final answer
    x = 401,601.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.