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Finding the Third Proportional to 81,188 and 177,896

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Solution

The third proportional to 81,188 and 177,896 is: 389,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,188 : 177,896 = 177,896 : x
  2. Step 2: Convert to fraction form
    81,188/177,896 = 177,896/x
  3. Step 3: Cross multiply
    81,188x = 177,896 × 177,896
  4. Step 4: Simplify right side
    81,188x = 31,646,986,816
  5. Step 5: Solve for x
    x = 31,646,986,816/81,188
  6. Step 6: Final answer
    x = 389,798.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.