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Finding the Third Proportional to 67,290.75 and 109,896.75

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Solution

The third proportional to 67,290.75 and 109,896.75 is: 179,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,290.75 : 109,896.75 = 109,896.75 : x
  2. Step 2: Convert to fraction form
    67,290.75/109,896.75 = 109,896.75/x
  3. Step 3: Cross multiply
    67,290.75x = 109,896.75 × 109,896.75
  4. Step 4: Simplify right side
    67,290.75x = 12,077,295,660.56
  5. Step 5: Solve for x
    x = 12,077,295,660.56/67,290.75
  6. Step 6: Final answer
    x = 179,479.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.