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Finding the Third Proportional to 128,553 and 276,837

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Solution

The third proportional to 128,553 and 276,837 is: 596,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,553 : 276,837 = 276,837 : x
  2. Step 2: Convert to fraction form
    128,553/276,837 = 276,837/x
  3. Step 3: Cross multiply
    128,553x = 276,837 × 276,837
  4. Step 4: Simplify right side
    128,553x = 76,638,724,569
  5. Step 5: Solve for x
    x = 76,638,724,569/128,553
  6. Step 6: Final answer
    x = 596,164.42

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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.