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Finding the Third Proportional to 66,170 and 156,179

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Solution

The third proportional to 66,170 and 156,179 is: 368,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,170 : 156,179 = 156,179 : x
  2. Step 2: Convert to fraction form
    66,170/156,179 = 156,179/x
  3. Step 3: Cross multiply
    66,170x = 156,179 × 156,179
  4. Step 4: Simplify right side
    66,170x = 24,391,880,041
  5. Step 5: Solve for x
    x = 24,391,880,041/66,170
  6. Step 6: Final answer
    x = 368,624.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.