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Finding the Third Proportional to 132,453 and 189,164.50

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Solution

The third proportional to 132,453 and 189,164.50 is: 270,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,453 : 189,164.50 = 189,164.50 : x
  2. Step 2: Convert to fraction form
    132,453/189,164.50 = 189,164.50/x
  3. Step 3: Cross multiply
    132,453x = 189,164.50 × 189,164.50
  4. Step 4: Simplify right side
    132,453x = 35,783,208,060.25
  5. Step 5: Solve for x
    x = 35,783,208,060.25/132,453
  6. Step 6: Final answer
    x = 270,157.78

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