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Finding the Third Proportional to 66,078 and 134,464

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Solution

The third proportional to 66,078 and 134,464 is: 273,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,078 : 134,464 = 134,464 : x
  2. Step 2: Convert to fraction form
    66,078/134,464 = 134,464/x
  3. Step 3: Cross multiply
    66,078x = 134,464 × 134,464
  4. Step 4: Simplify right side
    66,078x = 18,080,567,296
  5. Step 5: Solve for x
    x = 18,080,567,296/66,078
  6. Step 6: Final answer
    x = 273,624.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.