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Finding the Third Proportional to 54,212 and 86,336

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Solution

The third proportional to 54,212 and 86,336 is: 137,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,212 : 86,336 = 86,336 : x
  2. Step 2: Convert to fraction form
    54,212/86,336 = 86,336/x
  3. Step 3: Cross multiply
    54,212x = 86,336 × 86,336
  4. Step 4: Simplify right side
    54,212x = 7,453,904,896
  5. Step 5: Solve for x
    x = 7,453,904,896/54,212
  6. Step 6: Final answer
    x = 137,495.48

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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.