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Finding the Third Proportional to 191,859.75 and 287,790.75

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Solution

The third proportional to 191,859.75 and 287,790.75 is: 431,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,859.75 : 287,790.75 = 287,790.75 : x
  2. Step 2: Convert to fraction form
    191,859.75/287,790.75 = 287,790.75/x
  3. Step 3: Cross multiply
    191,859.75x = 287,790.75 × 287,790.75
  4. Step 4: Simplify right side
    191,859.75x = 82,823,515,785.56
  5. Step 5: Solve for x
    x = 82,823,515,785.56/191,859.75
  6. Step 6: Final answer
    x = 431,687.81

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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.