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Finding the Third Proportional to 80,445.75 and 105,786.75

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Solution

The third proportional to 80,445.75 and 105,786.75 is: 139,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,445.75 : 105,786.75 = 105,786.75 : x
  2. Step 2: Convert to fraction form
    80,445.75/105,786.75 = 105,786.75/x
  3. Step 3: Cross multiply
    80,445.75x = 105,786.75 × 105,786.75
  4. Step 4: Simplify right side
    80,445.75x = 11,190,836,475.56
  5. Step 5: Solve for x
    x = 11,190,836,475.56/80,445.75
  6. Step 6: Final answer
    x = 139,110.35

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.