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Finding the Third Proportional to 257,932.69 and 289,917.56

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Solution

The third proportional to 257,932.69 and 289,917.56 is: 325,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,932.69 : 289,917.56 = 289,917.56 : x
  2. Step 2: Convert to fraction form
    257,932.69/289,917.56 = 289,917.56/x
  3. Step 3: Cross multiply
    257,932.69x = 289,917.56 × 289,917.56
  4. Step 4: Simplify right side
    257,932.69x = 84,052,193,045.94
  5. Step 5: Solve for x
    x = 84,052,193,045.94/257,932.69
  6. Step 6: Final answer
    x = 325,868.71

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.