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Finding the Third Proportional to 128,598 and 276,912

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Solution

The third proportional to 128,598 and 276,912 is: 596,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,598 : 276,912 = 276,912 : x
  2. Step 2: Convert to fraction form
    128,598/276,912 = 276,912/x
  3. Step 3: Cross multiply
    128,598x = 276,912 × 276,912
  4. Step 4: Simplify right side
    128,598x = 76,680,255,744
  5. Step 5: Solve for x
    x = 76,680,255,744/128,598
  6. Step 6: Final answer
    x = 596,278.76

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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.