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Finding the Third Proportional to 54,456 and 87,728

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Solution

The third proportional to 54,456 and 87,728 is: 141,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,456 : 87,728 = 87,728 : x
  2. Step 2: Convert to fraction form
    54,456/87,728 = 87,728/x
  3. Step 3: Cross multiply
    54,456x = 87,728 × 87,728
  4. Step 4: Simplify right side
    54,456x = 7,696,201,984
  5. Step 5: Solve for x
    x = 7,696,201,984/54,456
  6. Step 6: Final answer
    x = 141,328.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.