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Finding the Third Proportional to 81,184 and 177,888

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Solution

The third proportional to 81,184 and 177,888 is: 389,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,184 : 177,888 = 177,888 : x
  2. Step 2: Convert to fraction form
    81,184/177,888 = 177,888/x
  3. Step 3: Cross multiply
    81,184x = 177,888 × 177,888
  4. Step 4: Simplify right side
    81,184x = 31,644,140,544
  5. Step 5: Solve for x
    x = 31,644,140,544/81,184
  6. Step 6: Final answer
    x = 389,782.97

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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.