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Finding the Third Proportional to 66,765 and 100,431

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Solution

The third proportional to 66,765 and 100,431 is: 151,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,765 : 100,431 = 100,431 : x
  2. Step 2: Convert to fraction form
    66,765/100,431 = 100,431/x
  3. Step 3: Cross multiply
    66,765x = 100,431 × 100,431
  4. Step 4: Simplify right side
    66,765x = 10,086,385,761
  5. Step 5: Solve for x
    x = 10,086,385,761/66,765
  6. Step 6: Final answer
    x = 151,072.95

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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.