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Finding the Third Proportional to 87,239 and 188,405

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Solution

The third proportional to 87,239 and 188,405 is: 406,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,239 : 188,405 = 188,405 : x
  2. Step 2: Convert to fraction form
    87,239/188,405 = 188,405/x
  3. Step 3: Cross multiply
    87,239x = 188,405 × 188,405
  4. Step 4: Simplify right side
    87,239x = 35,496,444,025
  5. Step 5: Solve for x
    x = 35,496,444,025/87,239
  6. Step 6: Final answer
    x = 406,887.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.