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Finding the Third Proportional to 128,553.94 and 276,863.06

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Solution

The third proportional to 128,553.94 and 276,863.06 is: 596,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,553.94 : 276,863.06 = 276,863.06 : x
  2. Step 2: Convert to fraction form
    128,553.94/276,863.06 = 276,863.06/x
  3. Step 3: Cross multiply
    128,553.94x = 276,863.06 × 276,863.06
  4. Step 4: Simplify right side
    128,553.94x = 76,653,155,376.88
  5. Step 5: Solve for x
    x = 76,653,155,376.88/128,553.94
  6. Step 6: Final answer
    x = 596,272.33

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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.