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Finding the Third Proportional to 154,406 and 231,609

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Solution

The third proportional to 154,406 and 231,609 is: 347,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,406 : 231,609 = 231,609 : x
  2. Step 2: Convert to fraction form
    154,406/231,609 = 231,609/x
  3. Step 3: Cross multiply
    154,406x = 231,609 × 231,609
  4. Step 4: Simplify right side
    154,406x = 53,642,728,881
  5. Step 5: Solve for x
    x = 53,642,728,881/154,406
  6. Step 6: Final answer
    x = 347,413.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.