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Finding the Third Proportional to 30,576 and 66,144

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Solution

The third proportional to 30,576 and 66,144 is: 143,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576 : 66,144 = 66,144 : x
  2. Step 2: Convert to fraction form
    30,576/66,144 = 66,144/x
  3. Step 3: Cross multiply
    30,576x = 66,144 × 66,144
  4. Step 4: Simplify right side
    30,576x = 4,375,028,736
  5. Step 5: Solve for x
    x = 4,375,028,736/30,576
  6. Step 6: Final answer
    x = 143,087.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.