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Finding the Third Proportional to 128,171.63 and 276,065.25

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Solution

The third proportional to 128,171.63 and 276,065.25 is: 594,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,171.63 : 276,065.25 = 276,065.25 : x
  2. Step 2: Convert to fraction form
    128,171.63/276,065.25 = 276,065.25/x
  3. Step 3: Cross multiply
    128,171.63x = 276,065.25 × 276,065.25
  4. Step 4: Simplify right side
    128,171.63x = 76,212,022,257.56
  5. Step 5: Solve for x
    x = 76,212,022,257.56/128,171.63
  6. Step 6: Final answer
    x = 594,609.16

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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.