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Finding the Third Proportional to 154,466 and 231,138

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Solution

The third proportional to 154,466 and 231,138 is: 345,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,466 : 231,138 = 231,138 : x
  2. Step 2: Convert to fraction form
    154,466/231,138 = 231,138/x
  3. Step 3: Cross multiply
    154,466x = 231,138 × 231,138
  4. Step 4: Simplify right side
    154,466x = 53,424,775,044
  5. Step 5: Solve for x
    x = 53,424,775,044/154,466
  6. Step 6: Final answer
    x = 345,867.54

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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.