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Finding the Third Proportional to 197,288 and 309,154

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Solution

The third proportional to 197,288 and 309,154 is: 484,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,288 : 309,154 = 309,154 : x
  2. Step 2: Convert to fraction form
    197,288/309,154 = 309,154/x
  3. Step 3: Cross multiply
    197,288x = 309,154 × 309,154
  4. Step 4: Simplify right side
    197,288x = 95,576,195,716
  5. Step 5: Solve for x
    x = 95,576,195,716/197,288
  6. Step 6: Final answer
    x = 484,450.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.