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Finding the Third Proportional to 154,930 and 338,288

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Solution

The third proportional to 154,930 and 338,288 is: 738,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,930 : 338,288 = 338,288 : x
  2. Step 2: Convert to fraction form
    154,930/338,288 = 338,288/x
  3. Step 3: Cross multiply
    154,930x = 338,288 × 338,288
  4. Step 4: Simplify right side
    154,930x = 114,438,770,944
  5. Step 5: Solve for x
    x = 114,438,770,944/154,930
  6. Step 6: Final answer
    x = 738,648.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.