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Finding the Third Proportional to 82,379 and 177,583

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Solution

The third proportional to 82,379 and 177,583 is: 382,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,379 : 177,583 = 177,583 : x
  2. Step 2: Convert to fraction form
    82,379/177,583 = 177,583/x
  3. Step 3: Cross multiply
    82,379x = 177,583 × 177,583
  4. Step 4: Simplify right side
    82,379x = 31,535,721,889
  5. Step 5: Solve for x
    x = 31,535,721,889/82,379
  6. Step 6: Final answer
    x = 382,812.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.