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Finding the Third Proportional to 128,469 and 270,787

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Solution

The third proportional to 128,469 and 270,787 is: 570,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,469 : 270,787 = 270,787 : x
  2. Step 2: Convert to fraction form
    128,469/270,787 = 270,787/x
  3. Step 3: Cross multiply
    128,469x = 270,787 × 270,787
  4. Step 4: Simplify right side
    128,469x = 73,325,599,369
  5. Step 5: Solve for x
    x = 73,325,599,369/128,469
  6. Step 6: Final answer
    x = 570,764.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.