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Finding the Third Proportional to 81,814 and 177,290

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Solution

The third proportional to 81,814 and 177,290 is: 384,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,814 : 177,290 = 177,290 : x
  2. Step 2: Convert to fraction form
    81,814/177,290 = 177,290/x
  3. Step 3: Cross multiply
    81,814x = 177,290 × 177,290
  4. Step 4: Simplify right side
    81,814x = 31,431,744,100
  5. Step 5: Solve for x
    x = 31,431,744,100/81,814
  6. Step 6: Final answer
    x = 384,185.40

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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.