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Finding the Third Proportional to 80,172 and 176,728

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Solution

The third proportional to 80,172 and 176,728 is: 389,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,172 : 176,728 = 176,728 : x
  2. Step 2: Convert to fraction form
    80,172/176,728 = 176,728/x
  3. Step 3: Cross multiply
    80,172x = 176,728 × 176,728
  4. Step 4: Simplify right side
    80,172x = 31,232,785,984
  5. Step 5: Solve for x
    x = 31,232,785,984/80,172
  6. Step 6: Final answer
    x = 389,572.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.