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Finding the Third Proportional to 169,894 and 269,907

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Solution

The third proportional to 169,894 and 269,907 is: 428,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,894 : 269,907 = 269,907 : x
  2. Step 2: Convert to fraction form
    169,894/269,907 = 269,907/x
  3. Step 3: Cross multiply
    169,894x = 269,907 × 269,907
  4. Step 4: Simplify right side
    169,894x = 72,849,788,649
  5. Step 5: Solve for x
    x = 72,849,788,649/169,894
  6. Step 6: Final answer
    x = 428,795.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.