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Finding the Third Proportional to 117,288 and 181,728

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Solution

The third proportional to 117,288 and 181,728 is: 281,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,288 : 181,728 = 181,728 : x
  2. Step 2: Convert to fraction form
    117,288/181,728 = 181,728/x
  3. Step 3: Cross multiply
    117,288x = 181,728 × 181,728
  4. Step 4: Simplify right side
    117,288x = 33,025,065,984
  5. Step 5: Solve for x
    x = 33,025,065,984/117,288
  6. Step 6: Final answer
    x = 281,572.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.