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Finding the Third Proportional to 130,890.94 and 197,427.38

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Solution

The third proportional to 130,890.94 and 197,427.38 is: 297,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,890.94 : 197,427.38 = 197,427.38 : x
  2. Step 2: Convert to fraction form
    130,890.94/197,427.38 = 197,427.38/x
  3. Step 3: Cross multiply
    130,890.94x = 197,427.38 × 197,427.38
  4. Step 4: Simplify right side
    130,890.94x = 38,977,568,399.39
  5. Step 5: Solve for x
    x = 38,977,568,399.39/130,890.94
  6. Step 6: Final answer
    x = 297,786.61

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Why These Related Problems?

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