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Finding the Third Proportional to 154,291 and 231,436

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Solution

The third proportional to 154,291 and 231,436 is: 347,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,291 : 231,436 = 231,436 : x
  2. Step 2: Convert to fraction form
    154,291/231,436 = 231,436/x
  3. Step 3: Cross multiply
    154,291x = 231,436 × 231,436
  4. Step 4: Simplify right side
    154,291x = 53,562,622,096
  5. Step 5: Solve for x
    x = 53,562,622,096/154,291
  6. Step 6: Final answer
    x = 347,153.25

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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.