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Finding the Third Proportional to 54,744 and 87,036

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Solution

The third proportional to 54,744 and 87,036 is: 138,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744 : 87,036 = 87,036 : x
  2. Step 2: Convert to fraction form
    54,744/87,036 = 87,036/x
  3. Step 3: Cross multiply
    54,744x = 87,036 × 87,036
  4. Step 4: Simplify right side
    54,744x = 7,575,265,296
  5. Step 5: Solve for x
    x = 7,575,265,296/54,744
  6. Step 6: Final answer
    x = 138,376.17

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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.