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Finding the Third Proportional to 129,648 and 274,728

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Solution

The third proportional to 129,648 and 274,728 is: 582,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648 : 274,728 = 274,728 : x
  2. Step 2: Convert to fraction form
    129,648/274,728 = 274,728/x
  3. Step 3: Cross multiply
    129,648x = 274,728 × 274,728
  4. Step 4: Simplify right side
    129,648x = 75,475,473,984
  5. Step 5: Solve for x
    x = 75,475,473,984/129,648
  6. Step 6: Final answer
    x = 582,156.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.