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Finding the Third Proportional to 128,976 and 280,977

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Solution

The third proportional to 128,976 and 280,977 is: 612,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,976 : 280,977 = 280,977 : x
  2. Step 2: Convert to fraction form
    128,976/280,977 = 280,977/x
  3. Step 3: Cross multiply
    128,976x = 280,977 × 280,977
  4. Step 4: Simplify right side
    128,976x = 78,948,074,529
  5. Step 5: Solve for x
    x = 78,948,074,529/128,976
  6. Step 6: Final answer
    x = 612,114.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.