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Finding the Third Proportional to 132,497.63 and 199,475.81

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Solution

The third proportional to 132,497.63 and 199,475.81 is: 300,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,497.63 : 199,475.81 = 199,475.81 : x
  2. Step 2: Convert to fraction form
    132,497.63/199,475.81 = 199,475.81/x
  3. Step 3: Cross multiply
    132,497.63x = 199,475.81 × 199,475.81
  4. Step 4: Simplify right side
    132,497.63x = 39,790,599,772.54
  5. Step 5: Solve for x
    x = 39,790,599,772.54/132,497.63
  6. Step 6: Final answer
    x = 300,311.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.