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Finding the Third Proportional to 54,360 and 84,015

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Solution

The third proportional to 54,360 and 84,015 is: 129,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,360 : 84,015 = 84,015 : x
  2. Step 2: Convert to fraction form
    54,360/84,015 = 84,015/x
  3. Step 3: Cross multiply
    54,360x = 84,015 × 84,015
  4. Step 4: Simplify right side
    54,360x = 7,058,520,225
  5. Step 5: Solve for x
    x = 7,058,520,225/54,360
  6. Step 6: Final answer
    x = 129,847.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.