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Finding the Third Proportional to 189,364.50 and 287,236.13

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Solution

The third proportional to 189,364.50 and 287,236.13 is: 435,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,364.50 : 287,236.13 = 287,236.13 : x
  2. Step 2: Convert to fraction form
    189,364.50/287,236.13 = 287,236.13/x
  3. Step 3: Cross multiply
    189,364.50x = 287,236.13 × 287,236.13
  4. Step 4: Simplify right side
    189,364.50x = 82,504,591,505.02
  5. Step 5: Solve for x
    x = 82,504,591,505.02/189,364.50
  6. Step 6: Final answer
    x = 435,691.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.