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Finding the Third Proportional to 193,228.50 and 412,134

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Solution

The third proportional to 193,228.50 and 412,134 is: 879,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,228.50 : 412,134 = 412,134 : x
  2. Step 2: Convert to fraction form
    193,228.50/412,134 = 412,134/x
  3. Step 3: Cross multiply
    193,228.50x = 412,134 × 412,134
  4. Step 4: Simplify right side
    193,228.50x = 169,854,433,956
  5. Step 5: Solve for x
    x = 169,854,433,956/193,228.50
  6. Step 6: Final answer
    x = 879,034.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.