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Finding the Third Proportional to 80,581.50 and 113,276.25

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Solution

The third proportional to 80,581.50 and 113,276.25 is: 159,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,581.50 : 113,276.25 = 113,276.25 : x
  2. Step 2: Convert to fraction form
    80,581.50/113,276.25 = 113,276.25/x
  3. Step 3: Cross multiply
    80,581.50x = 113,276.25 × 113,276.25
  4. Step 4: Simplify right side
    80,581.50x = 12,831,508,814.06
  5. Step 5: Solve for x
    x = 12,831,508,814.06/80,581.50
  6. Step 6: Final answer
    x = 159,236.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.