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Finding the Third Proportional to 54,176 and 86,512

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Solution

The third proportional to 54,176 and 86,512 is: 138,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,176 : 86,512 = 86,512 : x
  2. Step 2: Convert to fraction form
    54,176/86,512 = 86,512/x
  3. Step 3: Cross multiply
    54,176x = 86,512 × 86,512
  4. Step 4: Simplify right side
    54,176x = 7,484,326,144
  5. Step 5: Solve for x
    x = 7,484,326,144/54,176
  6. Step 6: Final answer
    x = 138,148.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.