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Finding the Third Proportional to 188,439 and 269,739

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Solution

The third proportional to 188,439 and 269,739 is: 386,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,439 : 269,739 = 269,739 : x
  2. Step 2: Convert to fraction form
    188,439/269,739 = 269,739/x
  3. Step 3: Cross multiply
    188,439x = 269,739 × 269,739
  4. Step 4: Simplify right side
    188,439x = 72,759,128,121
  5. Step 5: Solve for x
    x = 72,759,128,121/188,439
  6. Step 6: Final answer
    x = 386,115.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.