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Finding the Third Proportional to 86,980 and 188,832

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Solution

The third proportional to 86,980 and 188,832 is: 409,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980 : 188,832 = 188,832 : x
  2. Step 2: Convert to fraction form
    86,980/188,832 = 188,832/x
  3. Step 3: Cross multiply
    86,980x = 188,832 × 188,832
  4. Step 4: Simplify right side
    86,980x = 35,657,524,224
  5. Step 5: Solve for x
    x = 35,657,524,224/86,980
  6. Step 6: Final answer
    x = 409,950.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.