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Finding the Third Proportional to 66,963 and 144,176

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Solution

The third proportional to 66,963 and 144,176 is: 310,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,963 : 144,176 = 144,176 : x
  2. Step 2: Convert to fraction form
    66,963/144,176 = 144,176/x
  3. Step 3: Cross multiply
    66,963x = 144,176 × 144,176
  4. Step 4: Simplify right side
    66,963x = 20,786,718,976
  5. Step 5: Solve for x
    x = 20,786,718,976/66,963
  6. Step 6: Final answer
    x = 310,420.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.