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Finding the Third Proportional to 66,108 and 106,420

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Solution

The third proportional to 66,108 and 106,420 is: 171,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,108 : 106,420 = 106,420 : x
  2. Step 2: Convert to fraction form
    66,108/106,420 = 106,420/x
  3. Step 3: Cross multiply
    66,108x = 106,420 × 106,420
  4. Step 4: Simplify right side
    66,108x = 11,325,216,400
  5. Step 5: Solve for x
    x = 11,325,216,400/66,108
  6. Step 6: Final answer
    x = 171,313.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.