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Finding the Third Proportional to 431.69 and 923.81

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Solution

The third proportional to 431.69 and 923.81 is: 1,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.69 : 923.81 = 923.81 : x
  2. Step 2: Convert to fraction form
    431.69/923.81 = 923.81/x
  3. Step 3: Cross multiply
    431.69x = 923.81 × 923.81
  4. Step 4: Simplify right side
    431.69x = 853,429.54
  5. Step 5: Solve for x
    x = 853,429.54/431.69
  6. Step 6: Final answer
    x = 1,976.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.