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Finding the Third Proportional to 29,976 and 71,277

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Solution

The third proportional to 29,976 and 71,277 is: 169,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 71,277 = 71,277 : x
  2. Step 2: Convert to fraction form
    29,976/71,277 = 71,277/x
  3. Step 3: Cross multiply
    29,976x = 71,277 × 71,277
  4. Step 4: Simplify right side
    29,976x = 5,080,410,729
  5. Step 5: Solve for x
    x = 5,080,410,729/29,976
  6. Step 6: Final answer
    x = 169,482.61

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.