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Finding the Third Proportional to 132,165.50 and 188,406.75

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Solution

The third proportional to 132,165.50 and 188,406.75 is: 268,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,165.50 : 188,406.75 = 188,406.75 : x
  2. Step 2: Convert to fraction form
    132,165.50/188,406.75 = 188,406.75/x
  3. Step 3: Cross multiply
    132,165.50x = 188,406.75 × 188,406.75
  4. Step 4: Simplify right side
    132,165.50x = 35,497,103,445.56
  5. Step 5: Solve for x
    x = 35,497,103,445.56/132,165.50
  6. Step 6: Final answer
    x = 268,580.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.