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Finding the Third Proportional to 87,816 and 188,970

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Solution

The third proportional to 87,816 and 188,970 is: 406,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,816 : 188,970 = 188,970 : x
  2. Step 2: Convert to fraction form
    87,816/188,970 = 188,970/x
  3. Step 3: Cross multiply
    87,816x = 188,970 × 188,970
  4. Step 4: Simplify right side
    87,816x = 35,709,660,900
  5. Step 5: Solve for x
    x = 35,709,660,900/87,816
  6. Step 6: Final answer
    x = 406,641.85

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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.