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Finding the Third Proportional to 36,120 and 54,290

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Solution

The third proportional to 36,120 and 54,290 is: 81,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,120 : 54,290 = 54,290 : x
  2. Step 2: Convert to fraction form
    36,120/54,290 = 54,290/x
  3. Step 3: Cross multiply
    36,120x = 54,290 × 54,290
  4. Step 4: Simplify right side
    36,120x = 2,947,404,100
  5. Step 5: Solve for x
    x = 2,947,404,100/36,120
  6. Step 6: Final answer
    x = 81,600.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.