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Finding the Third Proportional to 33,420 and 73,080

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Solution

The third proportional to 33,420 and 73,080 is: 159,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420 : 73,080 = 73,080 : x
  2. Step 2: Convert to fraction form
    33,420/73,080 = 73,080/x
  3. Step 3: Cross multiply
    33,420x = 73,080 × 73,080
  4. Step 4: Simplify right side
    33,420x = 5,340,686,400
  5. Step 5: Solve for x
    x = 5,340,686,400/33,420
  6. Step 6: Final answer
    x = 159,805.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.