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Finding the Third Proportional to 67,728 and 145,176

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Solution

The third proportional to 67,728 and 145,176 is: 311,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,728 : 145,176 = 145,176 : x
  2. Step 2: Convert to fraction form
    67,728/145,176 = 145,176/x
  3. Step 3: Cross multiply
    67,728x = 145,176 × 145,176
  4. Step 4: Simplify right side
    67,728x = 21,076,070,976
  5. Step 5: Solve for x
    x = 21,076,070,976/67,728
  6. Step 6: Final answer
    x = 311,186.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.