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Finding the Third Proportional to 80,722.50 and 177,363.75

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Solution

The third proportional to 80,722.50 and 177,363.75 is: 389,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722.50 : 177,363.75 = 177,363.75 : x
  2. Step 2: Convert to fraction form
    80,722.50/177,363.75 = 177,363.75/x
  3. Step 3: Cross multiply
    80,722.50x = 177,363.75 × 177,363.75
  4. Step 4: Simplify right side
    80,722.50x = 31,457,899,814.06
  5. Step 5: Solve for x
    x = 31,457,899,814.06/80,722.50
  6. Step 6: Final answer
    x = 389,704.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.