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Finding the Third Proportional to 154,388 and 230,930

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Solution

The third proportional to 154,388 and 230,930 is: 345,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,388 : 230,930 = 230,930 : x
  2. Step 2: Convert to fraction form
    154,388/230,930 = 230,930/x
  3. Step 3: Cross multiply
    154,388x = 230,930 × 230,930
  4. Step 4: Simplify right side
    154,388x = 53,328,664,900
  5. Step 5: Solve for x
    x = 53,328,664,900/154,388
  6. Step 6: Final answer
    x = 345,419.75

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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.