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Finding the Third Proportional to 81,883 and 177,590

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Solution

The third proportional to 81,883 and 177,590 is: 385,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,883 : 177,590 = 177,590 : x
  2. Step 2: Convert to fraction form
    81,883/177,590 = 177,590/x
  3. Step 3: Cross multiply
    81,883x = 177,590 × 177,590
  4. Step 4: Simplify right side
    81,883x = 31,538,208,100
  5. Step 5: Solve for x
    x = 31,538,208,100/81,883
  6. Step 6: Final answer
    x = 385,161.85

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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.