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Finding the Third Proportional to 54,180 and 86,518

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Solution

The third proportional to 54,180 and 86,518 is: 138,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,180 : 86,518 = 86,518 : x
  2. Step 2: Convert to fraction form
    54,180/86,518 = 86,518/x
  3. Step 3: Cross multiply
    54,180x = 86,518 × 86,518
  4. Step 4: Simplify right side
    54,180x = 7,485,364,324
  5. Step 5: Solve for x
    x = 7,485,364,324/54,180
  6. Step 6: Final answer
    x = 138,157.33

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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.