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Finding the Third Proportional to 125,128 and 269,939

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Solution

The third proportional to 125,128 and 269,939 is: 582,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,128 : 269,939 = 269,939 : x
  2. Step 2: Convert to fraction form
    125,128/269,939 = 269,939/x
  3. Step 3: Cross multiply
    125,128x = 269,939 × 269,939
  4. Step 4: Simplify right side
    125,128x = 72,867,063,721
  5. Step 5: Solve for x
    x = 72,867,063,721/125,128
  6. Step 6: Final answer
    x = 582,340.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.