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Finding the Third Proportional to 81,650 and 177,880

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Solution

The third proportional to 81,650 and 177,880 is: 387,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,650 : 177,880 = 177,880 : x
  2. Step 2: Convert to fraction form
    81,650/177,880 = 177,880/x
  3. Step 3: Cross multiply
    81,650x = 177,880 × 177,880
  4. Step 4: Simplify right side
    81,650x = 31,641,294,400
  5. Step 5: Solve for x
    x = 31,641,294,400/81,650
  6. Step 6: Final answer
    x = 387,523.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.