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Finding the Third Proportional to 30,669 and 66,174

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Solution

The third proportional to 30,669 and 66,174 is: 142,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669 : 66,174 = 66,174 : x
  2. Step 2: Convert to fraction form
    30,669/66,174 = 66,174/x
  3. Step 3: Cross multiply
    30,669x = 66,174 × 66,174
  4. Step 4: Simplify right side
    30,669x = 4,378,998,276
  5. Step 5: Solve for x
    x = 4,378,998,276/30,669
  6. Step 6: Final answer
    x = 142,782.56

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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.