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Finding the Third Proportional to 189,136.69 and 405,732.38

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Solution

The third proportional to 189,136.69 and 405,732.38 is: 870,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,136.69 : 405,732.38 = 405,732.38 : x
  2. Step 2: Convert to fraction form
    189,136.69/405,732.38 = 405,732.38/x
  3. Step 3: Cross multiply
    189,136.69x = 405,732.38 × 405,732.38
  4. Step 4: Simplify right side
    189,136.69x = 164,618,760,123.14
  5. Step 5: Solve for x
    x = 164,618,760,123.14/189,136.69
  6. Step 6: Final answer
    x = 870,369.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.