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Finding the Third Proportional to 293,879.25 and 439,679.81

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Solution

The third proportional to 293,879.25 and 439,679.81 is: 657,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,879.25 : 439,679.81 = 439,679.81 : x
  2. Step 2: Convert to fraction form
    293,879.25/439,679.81 = 439,679.81/x
  3. Step 3: Cross multiply
    293,879.25x = 439,679.81 × 439,679.81
  4. Step 4: Simplify right side
    293,879.25x = 193,318,337,520.04
  5. Step 5: Solve for x
    x = 193,318,337,520.04/293,879.25
  6. Step 6: Final answer
    x = 657,815.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.