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Finding the Third Proportional to 66,912 and 100,146

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Solution

The third proportional to 66,912 and 100,146 is: 149,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,912 : 100,146 = 100,146 : x
  2. Step 2: Convert to fraction form
    66,912/100,146 = 100,146/x
  3. Step 3: Cross multiply
    66,912x = 100,146 × 100,146
  4. Step 4: Simplify right side
    66,912x = 10,029,221,316
  5. Step 5: Solve for x
    x = 10,029,221,316/66,912
  6. Step 6: Final answer
    x = 149,886.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.