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Finding the Third Proportional to 87,356.81 and 188,994.94

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Solution

The third proportional to 87,356.81 and 188,994.94 is: 408,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356.81 : 188,994.94 = 188,994.94 : x
  2. Step 2: Convert to fraction form
    87,356.81/188,994.94 = 188,994.94/x
  3. Step 3: Cross multiply
    87,356.81x = 188,994.94 × 188,994.94
  4. Step 4: Simplify right side
    87,356.81x = 35,719,086,400.63
  5. Step 5: Solve for x
    x = 35,719,086,400.63/87,356.81
  6. Step 6: Final answer
    x = 408,887.25

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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.