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Finding the Third Proportional to 270,879 and 420,009

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Solution

The third proportional to 270,879 and 420,009 is: 651,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,879 : 420,009 = 420,009 : x
  2. Step 2: Convert to fraction form
    270,879/420,009 = 420,009/x
  3. Step 3: Cross multiply
    270,879x = 420,009 × 420,009
  4. Step 4: Simplify right side
    270,879x = 176,407,560,081
  5. Step 5: Solve for x
    x = 176,407,560,081/270,879
  6. Step 6: Final answer
    x = 651,241.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.