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Finding the Third Proportional to 54,608 and 86,832

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Solution

The third proportional to 54,608 and 86,832 is: 138,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,608 : 86,832 = 86,832 : x
  2. Step 2: Convert to fraction form
    54,608/86,832 = 86,832/x
  3. Step 3: Cross multiply
    54,608x = 86,832 × 86,832
  4. Step 4: Simplify right side
    54,608x = 7,539,796,224
  5. Step 5: Solve for x
    x = 7,539,796,224/54,608
  6. Step 6: Final answer
    x = 138,071.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.