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Finding the Third Proportional to 137,826 and 255,969

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Solution

The third proportional to 137,826 and 255,969 is: 475,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,826 : 255,969 = 255,969 : x
  2. Step 2: Convert to fraction form
    137,826/255,969 = 255,969/x
  3. Step 3: Cross multiply
    137,826x = 255,969 × 255,969
  4. Step 4: Simplify right side
    137,826x = 65,520,128,961
  5. Step 5: Solve for x
    x = 65,520,128,961/137,826
  6. Step 6: Final answer
    x = 475,382.94

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.