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Finding the Third Proportional to 66,000 and 102,126

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Solution

The third proportional to 66,000 and 102,126 is: 158,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,000 : 102,126 = 102,126 : x
  2. Step 2: Convert to fraction form
    66,000/102,126 = 102,126/x
  3. Step 3: Cross multiply
    66,000x = 102,126 × 102,126
  4. Step 4: Simplify right side
    66,000x = 10,429,719,876
  5. Step 5: Solve for x
    x = 10,429,719,876/66,000
  6. Step 6: Final answer
    x = 158,026.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.