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Finding the Third Proportional to 67,180 and 144,728

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Solution

The third proportional to 67,180 and 144,728 is: 311,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,180 : 144,728 = 144,728 : x
  2. Step 2: Convert to fraction form
    67,180/144,728 = 144,728/x
  3. Step 3: Cross multiply
    67,180x = 144,728 × 144,728
  4. Step 4: Simplify right side
    67,180x = 20,946,193,984
  5. Step 5: Solve for x
    x = 20,946,193,984/67,180
  6. Step 6: Final answer
    x = 311,792.11

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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.