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Finding the Third Proportional to 82,586 and 176,832

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Solution

The third proportional to 82,586 and 176,832 is: 378,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586 : 176,832 = 176,832 : x
  2. Step 2: Convert to fraction form
    82,586/176,832 = 176,832/x
  3. Step 3: Cross multiply
    82,586x = 176,832 × 176,832
  4. Step 4: Simplify right side
    82,586x = 31,269,556,224
  5. Step 5: Solve for x
    x = 31,269,556,224/82,586
  6. Step 6: Final answer
    x = 378,630.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.