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Finding the Third Proportional to 81,474 and 176,772

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Solution

The third proportional to 81,474 and 176,772 is: 383,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474 : 176,772 = 176,772 : x
  2. Step 2: Convert to fraction form
    81,474/176,772 = 176,772/x
  3. Step 3: Cross multiply
    81,474x = 176,772 × 176,772
  4. Step 4: Simplify right side
    81,474x = 31,248,339,984
  5. Step 5: Solve for x
    x = 31,248,339,984/81,474
  6. Step 6: Final answer
    x = 383,537.57

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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.