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Finding the Third Proportional to 128,723.44 and 269,210.44

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Solution

The third proportional to 128,723.44 and 269,210.44 is: 563,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,723.44 : 269,210.44 = 269,210.44 : x
  2. Step 2: Convert to fraction form
    128,723.44/269,210.44 = 269,210.44/x
  3. Step 3: Cross multiply
    128,723.44x = 269,210.44 × 269,210.44
  4. Step 4: Simplify right side
    128,723.44x = 72,474,259,658.94
  5. Step 5: Solve for x
    x = 72,474,259,658.94/128,723.44
  6. Step 6: Final answer
    x = 563,023.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.