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Finding the Third Proportional to 43,132.50 and 100,824.75

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Solution

The third proportional to 43,132.50 and 100,824.75 is: 235,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,132.50 : 100,824.75 = 100,824.75 : x
  2. Step 2: Convert to fraction form
    43,132.50/100,824.75 = 100,824.75/x
  3. Step 3: Cross multiply
    43,132.50x = 100,824.75 × 100,824.75
  4. Step 4: Simplify right side
    43,132.50x = 10,165,630,212.56
  5. Step 5: Solve for x
    x = 10,165,630,212.56/43,132.50
  6. Step 6: Final answer
    x = 235,683.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.