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Finding the Third Proportional to 128,192.63 and 276,078.38

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Solution

The third proportional to 128,192.63 and 276,078.38 is: 594,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,192.63 : 276,078.38 = 276,078.38 : x
  2. Step 2: Convert to fraction form
    128,192.63/276,078.38 = 276,078.38/x
  3. Step 3: Cross multiply
    128,192.63x = 276,078.38 × 276,078.38
  4. Step 4: Simplify right side
    128,192.63x = 76,219,269,142.64
  5. Step 5: Solve for x
    x = 76,219,269,142.64/128,192.63
  6. Step 6: Final answer
    x = 594,568.28

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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.