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Finding the Third Proportional to 87,815 and 188,943

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Solution

The third proportional to 87,815 and 188,943 is: 406,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,815 : 188,943 = 188,943 : x
  2. Step 2: Convert to fraction form
    87,815/188,943 = 188,943/x
  3. Step 3: Cross multiply
    87,815x = 188,943 × 188,943
  4. Step 4: Simplify right side
    87,815x = 35,699,457,249
  5. Step 5: Solve for x
    x = 35,699,457,249/87,815
  6. Step 6: Final answer
    x = 406,530.29

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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.