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Finding the Third Proportional to 69,936 and 154,080

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Solution

The third proportional to 69,936 and 154,080 is: 339,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,936 : 154,080 = 154,080 : x
  2. Step 2: Convert to fraction form
    69,936/154,080 = 154,080/x
  3. Step 3: Cross multiply
    69,936x = 154,080 × 154,080
  4. Step 4: Simplify right side
    69,936x = 23,740,646,400
  5. Step 5: Solve for x
    x = 23,740,646,400/69,936
  6. Step 6: Final answer
    x = 339,462.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.