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Finding the Third Proportional to 66,936 and 103,642

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Solution

The third proportional to 66,936 and 103,642 is: 160,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,936 : 103,642 = 103,642 : x
  2. Step 2: Convert to fraction form
    66,936/103,642 = 103,642/x
  3. Step 3: Cross multiply
    66,936x = 103,642 × 103,642
  4. Step 4: Simplify right side
    66,936x = 10,741,664,164
  5. Step 5: Solve for x
    x = 10,741,664,164/66,936
  6. Step 6: Final answer
    x = 160,476.64

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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.