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Finding the Third Proportional to 154,390 and 231,954

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Solution

The third proportional to 154,390 and 231,954 is: 348,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,390 : 231,954 = 231,954 : x
  2. Step 2: Convert to fraction form
    154,390/231,954 = 231,954/x
  3. Step 3: Cross multiply
    154,390x = 231,954 × 231,954
  4. Step 4: Simplify right side
    154,390x = 53,802,658,116
  5. Step 5: Solve for x
    x = 53,802,658,116/154,390
  6. Step 6: Final answer
    x = 348,485.38

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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.