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Finding the Third Proportional to 269,935 and 579,144

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Solution

The third proportional to 269,935 and 579,144 is: 1,242,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,935 : 579,144 = 579,144 : x
  2. Step 2: Convert to fraction form
    269,935/579,144 = 579,144/x
  3. Step 3: Cross multiply
    269,935x = 579,144 × 579,144
  4. Step 4: Simplify right side
    269,935x = 335,407,772,736
  5. Step 5: Solve for x
    x = 335,407,772,736/269,935
  6. Step 6: Final answer
    x = 1,242,550.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.