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Finding the Third Proportional to 215,896 and 338,635

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Solution

The third proportional to 215,896 and 338,635 is: 531,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,896 : 338,635 = 338,635 : x
  2. Step 2: Convert to fraction form
    215,896/338,635 = 338,635/x
  3. Step 3: Cross multiply
    215,896x = 338,635 × 338,635
  4. Step 4: Simplify right side
    215,896x = 114,673,663,225
  5. Step 5: Solve for x
    x = 114,673,663,225/215,896
  6. Step 6: Final answer
    x = 531,152.33

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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.