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Finding the Third Proportional to 66,000 and 134,316

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Solution

The third proportional to 66,000 and 134,316 is: 273,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,000 : 134,316 = 134,316 : x
  2. Step 2: Convert to fraction form
    66,000/134,316 = 134,316/x
  3. Step 3: Cross multiply
    66,000x = 134,316 × 134,316
  4. Step 4: Simplify right side
    66,000x = 18,040,787,856
  5. Step 5: Solve for x
    x = 18,040,787,856/66,000
  6. Step 6: Final answer
    x = 273,345.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.